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72469795800 = 23352132191433
BaseRepresentation
bin100001101111110001…
…0010101001111011000
320221001112201001210010
41003133202111033120
52141404231431200
653143035121520
75143604046333
oct1033742251730
9227045631703
1072469795800
1128809346226
1212065ba32a0
136aac02cb9c
143716a4361a
151d42372150
hex10df8953d8

72469795800 has 96 divisors (see below), whose sum is σ = 224828891280. Its totient is φ = 19310438400.

The previous prime is 72469795793. The next prime is 72469795813. The reversal of 72469795800 is 859796427.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746884 + ... + 838316.

Almost surely, 272469795800 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 72469795800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112414445640).

72469795800 is an abundant number, since it is smaller than the sum of its proper divisors (152359095480).

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

72469795800 is a wasteful number, since it uses less digits than its factorization.

72469795800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92773 (or 92764 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 72469795800 in words is "seventy-two billion, four hundred sixty-nine million, seven hundred ninety-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1321 2642 3963 5284 6605 7926 10568 13210 15852 19815 26420 31704 33025 39630 52840 66050 79260 91433 99075 132100 158520 182866 198150 264200 274299 365732 396300 457165 548598 731464 792600 914330 1097196 1371495 1828660 2194392 2285825 2742990 3657320 4571650 5485980 6857475 9143300 10971960 13714950 18286600 27429900 54859800 120782993 241565986 362348979 483131972 603914965 724697958 966263944 1207829930 1449395916 1811744895 2415659860 2898791832 3019574825 3623489790 4831319720 6039149650 7246979580 9058724475 12078299300 14493959160 18117448950 24156598600 36234897900 72469795800