72963990 has 160 divisors (see below), whose sum is σ = 225815040. Its totient is φ = 16718400.

The previous prime is 72963973. The next prime is 72964013. The reversal of 72963990 is 9936927.

72963990 is a `hidden beast` number, since 7 + 2 + 9 + 639 + 9 + 0 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169075 + ... + 169505.

It is an arithmetic number, because the mean of its divisors is an integer number (1411344).

Almost surely, 2^72963990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72963990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112907520).

72963990 is an abundant number, since it is smaller than the sum of its proper divisors (152851050).

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

72963990 is a wasteful number, since it uses less digits than its factorization.

72963990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 72963990 is about 8541.8961595187. The cubic root of 72963990 is about 417.8651877854.

The spelling of 72963990 in words is "seventy-two million, nine hundred sixty-three thousand, nine hundred ninety".