71920512400 has 405 divisors, whose sum is σ = 202358526307. Its totient is φ = 24543833600.

The previous prime is 71920512397. The next prime is 71920512431. The reversal of 71920512400 is 421502917.

The square root of 71920512400 is 268180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 541772176 + 71378740224 = 23276^2 + 267168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1356990774 + ... + 1356990826.

Almost surely, 2^71920512400 is an apocalyptic number.

71920512400 is the 268180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71920512400

71920512400 is an abundant number, since it is smaller than the sum of its proper divisors (130438013907).

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

71920512400 is a wasteful number, since it uses less digits than its factorization.

71920512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 71920512400 in words is "seventy-one billion, nine hundred twenty million, five hundred twelve thousand, four hundred".