72532416 has 112 divisors (see below), whose sum is σ = 213164928. Its totient is φ = 21580800.

The previous prime is 72532399. The next prime is 72532423. The reversal of 72532416 is 61423527.

It is a congruent number.

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, 128551 + ... + 129113.

Almost surely, 2^72532416 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 72532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106582464).

72532416 is an abundant number, since it is smaller than the sum of its proper divisors (140632512).

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

72532416 is a wasteful number, since it uses less digits than its factorization.

72532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 640 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 72532416 is about 8516.5965032987. The cubic root of 72532416 is about 417.0396824602.

Subtracting from 72532416 its reverse (61423527), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 7253 and 2416, that added together give a palindrome (9669).

The spelling of 72532416 in words is "seventy-two million, five hundred thirty-two thousand, four hundred sixteen".