72523136 has 96 divisors (see below), whose sum is σ = 173954880. Its totient is φ = 29998080.

The previous prime is 72523109. The next prime is 72523141. The reversal of 72523136 is 63132527.

It is a junction number, because it is equal to n+sod(n) for n = 72523099 and 72523108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194246 + ... + 194618.

It is an arithmetic number, because the mean of its divisors is an integer number (1812030).

Almost surely, 2^72523136 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 72523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86977440).

72523136 is an abundant number, since it is smaller than the sum of its proper divisors (101431744).

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

72523136 is a wasteful number, since it uses less digits than its factorization.

72523136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 72523136 is about 8516.0516672928. The cubic root of 72523136 is about 417.0218959609.

The spelling of 72523136 in words is "seventy-two million, five hundred twenty-three thousand, one hundred thirty-six".