72633792 has 224 divisors, whose sum is σ = 254568960. Its totient is φ = 17756160.

The previous prime is 72633787. The next prime is 72633823. The reversal of 72633792 is 29733627.

It is a tau number, because it is divible by the number of its divisors (224).

Its product of digits (95256) is a multiple of the sum of its prime factors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 72633792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4272568 + ... + 4272584.

Almost surely, 2^72633792 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 72633792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127284480).

72633792 is an abundant number, since it is smaller than the sum of its proper divisors (181935168).

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

72633792 is a wasteful number, since it uses less digits than its factorization.

72633792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its digits is 95256, while the sum is 39.

The square root of 72633792 is about 8522.5460984380. The cubic root of 72633792 is about 417.2338858970.

The spelling of 72633792 in words is "seventy-two million, six hundred thirty-three thousand, seven hundred ninety-two".