72412832 has 24 divisors (see below), whose sum is σ = 148762656. Its totient is φ = 34631872.

The previous prime is 72412831. The next prime is 72412867. The reversal of 72412832 is 23821427.

It is a junction number, because it is equal to n+sod(n) for n = 72412795 and 72412804.

It is not an unprimeable number, because it can be changed into a prime (72412831) 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, 48458 + ... + 49929.

It is an arithmetic number, because the mean of its divisors is an integer number (6198444).

Almost surely, 2^72412832 is an apocalyptic number.

It is an amenable number.

72412832 is an abundant number, since it is smaller than the sum of its proper divisors (76349824).

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

72412832 is a wasteful number, since it uses less digits than its factorization.

72412832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98420 (or 98412 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 72412832 is about 8509.5729622584. The cubic root of 72412832 is about 416.8103656535.

The spelling of 72412832 in words is "seventy-two million, four hundred twelve thousand, eight hundred thirty-two".