72732032 has 32 divisors (see below), whose sum is σ = 148440600. Its totient is φ = 35476480.

The previous prime is 72732031. The next prime is 72732089. The reversal of 72732032 is 23023727.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 72731992 and 72732010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72732031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1682 + ... + 12177.

Almost surely, 2^72732032 is an apocalyptic number.

It is an amenable number.

72732032 is an abundant number, since it is smaller than the sum of its proper divisors (75708568).

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

72732032 is a wasteful number, since it uses less digits than its factorization.

72732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13914 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 72732032 is about 8528.3076867571. The cubic root of 72732032 is about 417.4219094507.

Adding to 72732032 its reverse (23023727), we get a palindrome (95755759).

The spelling of 72732032 in words is "seventy-two million, seven hundred thirty-two thousand, thirty-two".