72511744 has 36 divisors (see below), whose sum is σ = 145788300. Its totient is φ = 35993600.

The previous prime is 72511729. The next prime is 72511763. The reversal of 72511744 is 44711527.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 65286400 = 2688^2 + 8080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37194 + ... + 39094.

It is an arithmetic number, because the mean of its divisors is an integer number (4049675).

Almost surely, 2^72511744 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 72511744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72894150).

72511744 is an abundant number, since it is smaller than the sum of its proper divisors (73276556).

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

72511744 is a wasteful number, since it uses less digits than its factorization.

72511744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2052 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 72511744 is about 8515.3827864636. The cubic root of 72511744 is about 417.0000594249. Note that the first 4 decimals are identical.

Subtracting from 72511744 its sum of digits (31), we obtain a cube (72511713 = 417³).

The spelling of 72511744 in words is "seventy-two million, five hundred eleven thousand, seven hundred forty-four".