72704612890000 has 675 divisors, whose sum is σ = 221963516459487. Its totient is φ = 22985254656000.

The previous prime is 72704612889989. The next prime is 72704612890043. The reversal of 72704612890000 is 9821640727.

The square root of 72704612890000 is 8526700.

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

It can be written as a sum of positive squares in 22 ways, for example, as 8201098427536 + 64503514462464 = 2863756^2 + 8031408^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 77592969532 + ... + 77592970468.

Almost surely, 2^{72704612890000} is an apocalyptic number.

72704612890000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72704612890000 is the 8526700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72704612890000

72704612890000 is an abundant number, since it is smaller than the sum of its proper divisors (149258903569487).

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

72704612890000 is an frugal number, since it uses more digits than its factorization.

72704612890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 72704612890000 in words is "seventy-two trillion, seven hundred four billion, six hundred twelve million, eight hundred ninety thousand".