72575646 has 64 divisors (see below), whose sum is σ = 171714816. Its totient is φ = 20160000.

The previous prime is 72575627. The next prime is 72575663. The reversal of 72575646 is 64657527.

It is a junction number, because it is equal to n+sod(n) for n = 72575598 and 72575607.

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, 215190 + ... + 215526.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^72575646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72575646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

72575646 is an abundant number, since it is smaller than the sum of its proper divisors (99139170).

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

72575646 is a wasteful number, since it uses less digits than its factorization.

72575646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617.

The product of its digits is 352800, while the sum is 42.

The square root of 72575646 is about 8519.1341109293. The cubic root of 72575646 is about 417.1225191922.

The spelling of 72575646 in words is "seventy-two million, five hundred seventy-five thousand, six hundred forty-six".