Search a number
-
+
72199372 = 22731223373
BaseRepresentation
bin1000100110110…
…10110011001100
312000212002220211
410103122303030
5121440334442
611055252204
71534453540
oct423326314
9160762824
1072199372
1137833503
122021a064
1311c5b92b
149835a20
156512617
hex44daccc

72199372 has 48 divisors (see below), whose sum is σ = 150126592. Its totient is φ = 29730240.

The previous prime is 72199367. The next prime is 72199399. The reversal of 72199372 is 27399127.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193378 + ... + 193750.

Almost surely, 272199372 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 72199372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75063296).

72199372 is an abundant number, since it is smaller than the sum of its proper divisors (77927220).

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

72199372 is a wasteful number, since it uses less digits than its factorization.

72199372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its digits is 47628, while the sum is 40.

The square root of 72199372 is about 8497.0213604533. The cubic root of 72199372 is about 416.4004019014.

The spelling of 72199372 in words is "seventy-two million, one hundred ninety-nine thousand, three hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 223 373 434 446 746 868 892 1492 1561 2611 3122 5222 6244 6913 10444 11563 13826 23126 27652 46252 48391 80941 83179 96782 161882 166358 193564 323764 332716 582253 1164506 2329012 2578549 5157098 10314196 18049843 36099686 72199372