72992043264 has 216 divisors, whose sum is σ = 228714524640. Its totient is φ = 20602724352.

The previous prime is 72992043193. The next prime is 72992043283. The reversal of 72992043264 is 46234029927.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111772 + ... + 3135140.

It is an arithmetic number, because the mean of its divisors is an integer number (1058863540).

Almost surely, 2^72992043264 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 72992043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114357262320).

72992043264 is an abundant number, since it is smaller than the sum of its proper divisors (155722481376).

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

72992043264 is a wasteful number, since it uses less digits than its factorization.

72992043264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23485 (or 23464 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 72992043264 in words is "seventy-two billion, nine hundred ninety-two million, forty-three thousand, two hundred sixty-four".