72401832 has 24 divisors (see below), whose sum is σ = 196088490. Its totient is φ = 24133920.

The previous prime is 72401821. The next prime is 72401839. The reversal of 72401832 is 23810427.

It can be written as a sum of positive squares in only one way, i.e., 60746436 + 11655396 = 7794^2 + 3414^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 72401796 and 72401805.

It is not an unprimeable number, because it can be changed into a prime (72401839) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502719 + ... + 502862.

Almost surely, 2^72401832 is an apocalyptic number.

72401832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72401832 is an abundant number, since it is smaller than the sum of its proper divisors (123686658).

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

72401832 is a wasteful number, since it uses less digits than its factorization.

72401832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005593 (or 1005586 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72401832 is about 8508.9266068053. The cubic root of 72401832 is about 416.7892591448.

The spelling of 72401832 in words is "seventy-two million, four hundred one thousand, eight hundred thirty-two".