72644346 has 48 divisors (see below), whose sum is σ = 163507968. Its totient is φ = 23284800.

The previous prime is 72644323. The next prime is 72644359. The reversal of 72644346 is 64344627.

72644346 is a `hidden beast` number, since 7 + 2 + 644 + 3 + 4 + 6 = 666.

Its product of digits (96768) is a multiple of the sum of its prime divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 72644346.

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, 117430 + ... + 118046.

It is an arithmetic number, because the mean of its divisors is an integer number (3406416).

Almost surely, 2^72644346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72644346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81753984).

72644346 is an abundant number, since it is smaller than the sum of its proper divisors (90863622).

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

72644346 is a wasteful number, since it uses less digits than its factorization.

72644346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 864 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 72644346 is about 8523.1652571096. The cubic root of 72644346 is about 417.2540935398.

The spelling of 72644346 in words is "seventy-two million, six hundred forty-four thousand, three hundred forty-six".