72977047200 has 180 divisors, whose sum is σ = 266133337470. Its totient is φ = 19460528640.

The previous prime is 72977047193. The next prime is 72977047261. The reversal of 72977047200 is 274077927.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36034669584 + 36942377616 = 189828^2 + 192204^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 498295 + ... + 627894.

Almost surely, 2^72977047200 is an apocalyptic number.

It is an amenable number.

72977047200 is an abundant number, since it is smaller than the sum of its proper divisors (193156290270).

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

72977047200 is a wasteful number, since it uses less digits than its factorization.

72977047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126221 (or 1126199 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 72977047200 in words is "seventy-two billion, nine hundred seventy-seven million, forty-seven thousand, two hundred".