72700292880 has 480 divisors, whose sum is σ = 260321338368. Its totient is φ = 18849024000.

The previous prime is 72700292849. The next prime is 72700292881. The reversal of 72700292880 is 8829200727.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (72700292881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119769537 + ... + 119770143.

Almost surely, 2^72700292880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72700292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130160669184).

72700292880 is an abundant number, since it is smaller than the sum of its proper divisors (187621045488).

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

72700292880 is a wasteful number, since it uses less digits than its factorization.

72700292880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 72700292880 in words is "seventy-two billion, seven hundred million, two hundred ninety-two thousand, eight hundred eighty".