72970032 has 160 divisors (see below), whose sum is σ = 214272000. Its totient is φ = 21288960.

The previous prime is 72969979. The next prime is 72970033. The reversal of 72970032 is 23007927.

It is not an unprimeable number, because it can be changed into a prime (72970033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 819844 + ... + 819932.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^72970032 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 72970032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

72970032 is an abundant number, since it is smaller than the sum of its proper divisors (141301968).

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

72970032 is a wasteful number, since it uses less digits than its factorization.

72970032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 72970032 is about 8542.2498207439. The cubic root of 72970032 is about 417.8767216565.

Adding to 72970032 its reverse (23007927), we get a palindrome (95977959).

The spelling of 72970032 in words is "seventy-two million, nine hundred seventy thousand, thirty-two".