72605632 has 56 divisors (see below), whose sum is σ = 158447232. Its totient is φ = 32736000.

The previous prime is 72605609. The next prime is 72605653. The reversal of 72605632 is 23650627.

It is a junction number, because it is equal to n+sod(n) for n = 72605594 and 72605603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105963 + ... + 106645.

Almost surely, 2^72605632 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 72605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79223616).

72605632 is an abundant number, since it is smaller than the sum of its proper divisors (85841600).

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

72605632 is a wasteful number, since it uses less digits than its factorization.

72605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 72605632 is about 8520.8938498259. The cubic root of 72605632 is about 417.1799586334.

It can be divided in two parts, 72605 and 632, that added together give a palindrome (73237).

The spelling of 72605632 in words is "seventy-two million, six hundred five thousand, six hundred thirty-two".