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72420516 = 22327287383
BaseRepresentation
bin1000101000100…
…00110010100100
312001021100021100
410110100302210
5122014424031
611104120100
71536364350
oct424206244
9161240240
1072420516
1137974673
1220306030
131200849c
149892460
156557de6
hex4510ca4

72420516 has 36 divisors (see below), whose sum is σ = 209215552. Its totient is φ = 20691504.

The previous prime is 72420503. The next prime is 72420547. The reversal of 72420516 is 61502427.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×724205162 = 10489462275412512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72420516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143440 + ... + 143943.

Almost surely, 272420516 is an apocalyptic number.

It is an amenable number.

72420516 is an abundant number, since it is smaller than the sum of its proper divisors (136795036).

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

72420516 is a wasteful number, since it uses less digits than its factorization.

72420516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287400 (or 287395 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72420516 is about 8510.0244417980. The cubic root of 72420516 is about 416.8251082412.

The spelling of 72420516 in words is "seventy-two million, four hundred twenty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 287383 574766 862149 1149532 1724298 2011681 2586447 3448596 4023362 5172894 6035043 8046724 10345788 12070086 18105129 24140172 36210258 72420516