72365872040 has 64 divisors (see below), whose sum is σ = 203000376960. Its totient is φ = 22555595520.

The previous prime is 72365872037. The next prime is 72365872057. The reversal of 72365872040 is 4027856327.

It is a super-2 number, since 2×72365872040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 72365871982 and 72365872000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11744627 + ... + 11750786.

It is an arithmetic number, because the mean of its divisors is an integer number (3171880890).

Almost surely, 2^72365872040 is an apocalyptic number.

72365872040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72365872040 is an abundant number, since it is smaller than the sum of its proper divisors (130634504920).

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

72365872040 is a wasteful number, since it uses less digits than its factorization.

72365872040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23495442 (or 23495438 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 72365872040 in words is "seventy-two billion, three hundred sixty-five million, eight hundred seventy-two thousand, forty".