72416900275344 has 45 divisors (see below), whose sum is σ = 202667027531059. Its totient is φ = 24138932719200.

The previous prime is 72416900275339. The next prime is 72416900275427. The reversal of 72416900275344 is 44357200961427.

The square root of 72416900275344 is 8509812.

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

72416900275344 is a `hidden beast` number, since 7 + 2 + 4 + 16 + 90 + 0 + 2 + 7 + 534 + 4 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101763169 + ... + 102472319.

Almost surely, 2^{72416900275344} is an apocalyptic number.

72416900275344 is the 8509812-nd square number.

It is an amenable number.

72416900275344 is an abundant number, since it is smaller than the sum of its proper divisors (130250127255715).

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

72416900275344 is an frugal number, since it uses more digits than its factorization.

72416900275344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418316 (or 709156 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 72416900275344 in words is "seventy-two trillion, four hundred sixteen billion, nine hundred million, two hundred seventy-five thousand, three hundred forty-four".