72553536 has 168 divisors, whose sum is σ = 235122720. Its totient is φ = 21922560.

The previous prime is 72553529. The next prime is 72553543. The reversal of 72553536 is 63535527.

72553536 is a `hidden beast` number, since 72 + 5 + 53 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (72553529) and next prime (72553543).

It is a super-2 number, since 2×72553536² = 10528031172206592, which contains 22 as substring.

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 72553536.

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, 208915 + ... + 209261.

It is an arithmetic number, because the mean of its divisors is an integer number (1399540).

Almost surely, 2^72553536 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 72553536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117561360).

72553536 is an abundant number, since it is smaller than the sum of its proper divisors (162569184).

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

72553536 is a wasteful number, since it uses less digits than its factorization.

72553536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its digits is 94500, while the sum is 36.

The square root of 72553536 is about 8517.8363449881. The cubic root of 72553536 is about 417.0801564250.

Subtracting from 72553536 its reverse (63535527), we obtain a square (9018009 = 3003²).

The spelling of 72553536 in words is "seventy-two million, five hundred fifty-three thousand, five hundred thirty-six".