72087954064 has 135 divisors (see below), whose sum is σ = 167089338243. Its totient is φ = 30041032896.

The previous prime is 72087954041. The next prime is 72087954077. The reversal of 72087954064 is 46045978027.

The square root of 72087954064 is 268492.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×72087954064² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323264257 + ... + 323264479.

Almost surely, 2^72087954064 is an apocalyptic number.

72087954064 is the 268492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72087954064

72087954064 is an abundant number, since it is smaller than the sum of its proper divisors (95001384179).

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

72087954064 is an equidigital number, since it uses as much as digits as its factorization.

72087954064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 72087954064 in words is "seventy-two billion, eighty-seven million, nine hundred fifty-four thousand, sixty-four".