72416004 has 48 divisors (see below), whose sum is σ = 174894720. Its totient is φ = 23304960.

The previous prime is 72415997. The next prime is 72416009. The reversal of 72416004 is 40061427.

It is not an unprimeable number, because it can be changed into a prime (72416009) 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 15 ways as a sum of consecutive naturals, for example, 49962 + ... + 51390.

It is an arithmetic number, because the mean of its divisors is an integer number (3643640).

Almost surely, 2^72416004 is an apocalyptic number.

It is an amenable number.

72416004 is an abundant number, since it is smaller than the sum of its proper divisors (102478716).

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

72416004 is a wasteful number, since it uses less digits than its factorization.

72416004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72416004 is about 8509.7593385477. The cubic root of 72416004 is about 416.8164516061.

The spelling of 72416004 in words is "seventy-two million, four hundred sixteen thousand, four".