72407632 has 80 divisors (see below), whose sum is σ = 164275200. Its totient is φ = 30568320.

The previous prime is 72407627. The next prime is 72407659. The reversal of 72407632 is 23670427.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72407594 and 72407603.

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, 197113 + ... + 197479.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 2^72407632 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 72407632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82137600).

72407632 is an abundant number, since it is smaller than the sum of its proper divisors (91867568).

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

72407632 is a wasteful number, since it uses less digits than its factorization.

72407632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 72407632 is about 8509.2674185267. The cubic root of 72407632 is about 416.8003882976.

It can be divided in two parts, 72 and 407632, that added together give a palindrome (407704).

The spelling of 72407632 in words is "seventy-two million, four hundred seven thousand, six hundred thirty-two".