72401632 has 48 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 34352640.

The previous prime is 72401621. The next prime is 72401653. The reversal of 72401632 is 23610427.

It is a junction number, because it is equal to n+sod(n) for n = 72401597 and 72401606.

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, 55969 + ... + 57247.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^72401632 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 72401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

72401632 is an abundant number, since it is smaller than the sum of its proper divisors (77588768).

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

72401632 is a wasteful number, since it uses less digits than its factorization.

72401632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 72401632 is about 8508.9148544336. The cubic root of 72401632 is about 416.7888753704.

The spelling of 72401632 in words is "seventy-two million, four hundred one thousand, six hundred thirty-two".