72992162880 has 1792 divisors, whose sum is σ = 346073333760. Its totient is φ = 14046068736.

The previous prime is 72992162849. The next prime is 72992162899. The reversal of 72992162880 is 8826129927.

72992162880 is a `hidden beast` number, since 7 + 2 + 9 + 9 + 2 + 1 + 628 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 574741377 + ... + 574741503.

It is an arithmetic number, because the mean of its divisors is an integer number (193121280).

Almost surely, 2^72992162880 is an apocalyptic number.

72992162880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72992162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173036666880).

72992162880 is an abundant number, since it is smaller than the sum of its proper divisors (273081170880).

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

72992162880 is a wasteful number, since it uses less digits than its factorization.

72992162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 72992162880 in words is "seventy-two billion, nine hundred ninety-two million, one hundred sixty-two thousand, eight hundred eighty".