72290856906 has 48 divisors (see below), whose sum is σ = 161774316288. Its totient is φ = 23306428800.

The previous prime is 72290856889. The next prime is 72290856907. The reversal of 72290856906 is 60965809227.

72290856906 is a `hidden beast` number, since 72 + 2 + 9 + 0 + 8 + 569 + 0 + 6 = 666.

It is a super-3 number, since 3×72290856906³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72290856907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974770 + ... + 1046306.

It is an arithmetic number, because the mean of its divisors is an integer number (3370298256).

Almost surely, 2^72290856906 is an apocalyptic number.

72290856906 is an abundant number, since it is smaller than the sum of its proper divisors (89483459382).

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

72290856906 is a wasteful number, since it uses less digits than its factorization.

72290856906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73387 (or 73384 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 72290856906 in words is "seventy-two billion, two hundred ninety million, eight hundred fifty-six thousand, nine hundred six".