72841632 has 24 divisors (see below), whose sum is σ = 191209536. Its totient is φ = 24280512.

The previous prime is 72841619. The next prime is 72841697. The reversal of 72841632 is 23614827.

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 = 72841593 and 72841602.

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 3 ways as a sum of consecutive naturals, for example, 379288 + ... + 379479.

It is an arithmetic number, because the mean of its divisors is an integer number (7967064).

Almost surely, 2^72841632 is an apocalyptic number.

It is an amenable number.

72841632 is an abundant number, since it is smaller than the sum of its proper divisors (118367904).

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

72841632 is a wasteful number, since it uses less digits than its factorization.

72841632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758780 (or 758772 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 72841632 is about 8534.7309272173. The cubic root of 72841632 is about 417.6314754391.

The spelling of 72841632 in words is "seventy-two million, eight hundred forty-one thousand, six hundred thirty-two".