72601568 has 48 divisors (see below), whose sum is σ = 154879200. Its totient is φ = 33302016.

The previous prime is 72601549. The next prime is 72601579. The reversal of 72601568 is 86510627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82346 + ... + 83222.

It is an arithmetic number, because the mean of its divisors is an integer number (3226650).

Almost surely, 2^72601568 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 72601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77439600).

72601568 is an abundant number, since it is smaller than the sum of its proper divisors (82277632).

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

72601568 is a wasteful number, since it uses less digits than its factorization.

72601568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 72601568 is about 8520.6553738548. The cubic root of 72601568 is about 417.1721747974.

The spelling of 72601568 in words is "seventy-two million, six hundred one thousand, five hundred sixty-eight".