72710043904 has 81 divisors (see below), whose sum is σ = 153349728987. Its totient is φ = 34402770432.

The previous prime is 72710043881. The next prime is 72710043941. The reversal of 72710043904 is 40934001727.

The square root of 72710043904 is 269648.

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

It is a super-2 number, since 2×72710043904² (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 81972549 + ... + 81973435.

Almost surely, 2^72710043904 is an apocalyptic number.

72710043904 is the 269648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72710043904

72710043904 is an abundant number, since it is smaller than the sum of its proper divisors (80639685083).

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

72710043904 is an frugal number, since it uses more digits than its factorization.

72710043904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 72710043904 in words is "seventy-two billion, seven hundred ten million, forty-three thousand, nine hundred four".