72734382 has 64 divisors (see below), whose sum is σ = 185610240. Its totient is φ = 20681568.

The previous prime is 72734351. The next prime is 72734393. The reversal of 72734382 is 28343727.

72734382 is a `hidden beast` number, since 7 + 273 + 4 + 382 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 119523 + ... + 120129.

It is an arithmetic number, because the mean of its divisors is an integer number (2900160).

Almost surely, 2^72734382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72734382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92805120).

72734382 is an abundant number, since it is smaller than the sum of its proper divisors (112875858).

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

72734382 is a wasteful number, since it uses less digits than its factorization.

72734382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 72734382 is about 8528.4454620992. The cubic root of 72734382 is about 417.4264050899.

The spelling of 72734382 in words is "seventy-two million, seven hundred thirty-four thousand, three hundred eighty-two".