72511504 has 40 divisors (see below), whose sum is σ = 153037080. Its totient is φ = 33082368.

The previous prime is 72511501. The next prime is 72511507. The reversal of 72511504 is 40511527.

It is an interprime number because it is at equal distance from previous prime (72511501) and next prime (72511507).

It can be written as a sum of positive squares in 4 ways, for example, as 2822400 + 69689104 = 1680^2 + 8348^2 .

It is not an unprimeable number, because it can be changed into a prime (72511501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16554 + ... + 20470.

It is an arithmetic number, because the mean of its divisors is an integer number (3825927).

Almost surely, 2^72511504 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 72511504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76518540).

72511504 is an abundant number, since it is smaller than the sum of its proper divisors (80525576).

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

72511504 is a wasteful number, since it uses less digits than its factorization.

72511504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 72511504 is about 8515.3686943080. The cubic root of 72511504 is about 416.9995993609. Note that the first 3 decimals are identical.

The spelling of 72511504 in words is "seventy-two million, five hundred eleven thousand, five hundred four".