72380516890276 has 45 divisors (see below), whose sum is σ = 147769798233281. Its totient is φ = 31019864202096.

The previous prime is 72380516890247. The next prime is 72380516890289. The reversal of 72380516890276 is 67209861508327.

The square root of 72380516890276 is 8507674.

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

It can be written as a sum of positive squares in only one way, i.e., 51692792652900 + 20687724237376 = 7189770^2 + 4548376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 833708646 + ... + 833795458.

Almost surely, 2^{72380516890276} is an apocalyptic number.

72380516890276 is the 8507674-th square number.

It is an amenable number.

72380516890276 is an abundant number, since it is smaller than the sum of its proper divisors (75389281343005).

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

72380516890276 is an frugal number, since it uses more digits than its factorization.

72380516890276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173658 (or 86822 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

The spelling of 72380516890276 in words is "seventy-two trillion, three hundred eighty billion, five hundred sixteen million, eight hundred ninety thousand, two hundred seventy-six".