72072058040 has 64 divisors (see below), whose sum is σ = 163588930560. Its totient is φ = 28575590400.

The previous prime is 72072058013. The next prime is 72072058073. The reversal of 72072058040 is 4085027027.

It is a super-2 number, since 2×72072058040² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6095174 + ... + 6106986.

It is an arithmetic number, because the mean of its divisors is an integer number (2556077040).

Almost surely, 2^72072058040 is an apocalyptic number.

It is an amenable number.

72072058040 is an abundant number, since it is smaller than the sum of its proper divisors (91516872520).

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

72072058040 is a wasteful number, since it uses less digits than its factorization.

72072058040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13152 (or 13148 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The spelling of 72072058040 in words is "seventy-two billion, seventy-two million, fifty-eight thousand, forty".