72533032 has 128 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 27820800.

The previous prime is 72533003. The next prime is 72533077. The reversal of 72533032 is 23033527.

It is a happy number.

It is a super-2 number, since 2×72533032² = 10522081462226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72532988 and 72533006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1021557 + ... + 1021627.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^72533032 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 72533032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

72533032 is an abundant number, since it is smaller than the sum of its proper divisors (101649368).

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

72533032 is a wasteful number, since it uses less digits than its factorization.

72533032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 25.

The square root of 72533032 is about 8516.6326679034. The cubic root of 72533032 is about 417.0408630621.

Adding to 72533032 its reverse (23033527), we get a palindrome (95566559).

The spelling of 72533032 in words is "seventy-two million, five hundred thirty-three thousand, thirty-two".