72496632 has 64 divisors (see below), whose sum is σ = 196066080. Its totient is φ = 22205952.

The previous prime is 72496603. The next prime is 72496643. The reversal of 72496632 is 23669427.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98538 + ... + 99270.

Almost surely, 2^72496632 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 72496632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98033040).

72496632 is an abundant number, since it is smaller than the sum of its proper divisors (123569448).

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

72496632 is a wasteful number, since it uses less digits than its factorization.

72496632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 72496632 is about 8514.4954048963. The cubic root of 72496632 is about 416.9710887489.

The spelling of 72496632 in words is "seventy-two million, four hundred ninety-six thousand, six hundred thirty-two".