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72370670724 = 223311121350221
BaseRepresentation
bin100001101100110100…
…0001100110010000100
320220210122011222202000
41003121220030302010
52141203342430344
653125134345300
75141261360052
oct1033150146204
9226718158660
1072370670724
11287683a2080
121203895b230
136a946346b1
1437077dd1d2
151d387e1a69
hex10d9a0cc84

72370670724 has 96 divisors (see below), whose sum is σ = 204857546880. Its totient is φ = 21911990400.

The previous prime is 72370670707. The next prime is 72370670737. The reversal of 72370670724 is 42707607327.

It is a self number, because there is not a number n which added to its sum of digits gives 72370670724.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415934 + ... + 1466154.

It is an arithmetic number, because the mean of its divisors is an integer number (2133932780).

Almost surely, 272370670724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72370670724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102428773440).

72370670724 is an abundant number, since it is smaller than the sum of its proper divisors (132486876156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72370670724 is a wasteful number, since it uses less digits than its factorization.

72370670724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51458 (or 51450 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

It can be divided in two parts, 723706 and 70724, that added together give a triangular number (794430 = T1260).

The spelling of 72370670724 in words is "seventy-two billion, three hundred seventy million, six hundred seventy thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1213 2426 3639 4852 7278 10917 13343 14556 21834 26686 32751 40029 43668 50221 53372 65502 80058 100442 120087 131004 150663 160116 200884 240174 301326 360261 451989 480348 552431 602652 720522 903978 1104862 1355967 1441044 1657293 1807956 2209724 2711934 3314586 4971879 5423868 6629172 9943758 14915637 19887516 29831274 59662548 60918073 121836146 182754219 243672292 365508438 548262657 670098803 731016876 1096525314 1340197606 1644787971 2010296409 2193050628 2680395212 3289575942 4020592818 6030889227 6579151884 8041185636 12061778454 18092667681 24123556908 36185335362 72370670724