72575136 has 96 divisors (see below), whose sum is σ = 222868800. Its totient is φ = 22913280.

The previous prime is 72575119. The next prime is 72575147. The reversal of 72575136 is 63157527.

72575136 is a `hidden beast` number, since 72 + 575 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72575136.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14206 + ... + 18626.

It is an arithmetic number, because the mean of its divisors is an integer number (2321550).

Almost surely, 2^72575136 is an apocalyptic number.

72575136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72575136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111434400).

72575136 is an abundant number, since it is smaller than the sum of its proper divisors (150293664).

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

72575136 is a wasteful number, since it uses less digits than its factorization.

72575136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4459 (or 4445 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 72575136 is about 8519.1041782572. The cubic root of 72575136 is about 417.1215421290.

The spelling of 72575136 in words is "seventy-two million, five hundred seventy-five thousand, one hundred thirty-six".