72485984 has 24 divisors (see below), whose sum is σ = 145129320. Its totient is φ = 35627776.

The previous prime is 72485971. The next prime is 72485989. The reversal of 72485984 is 48958427.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72485989) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17309 + ... + 21084.

It is an arithmetic number, because the mean of its divisors is an integer number (6047055).

Almost surely, 2^72485984 is an apocalyptic number.

It is an amenable number.

72485984 is an abundant number, since it is smaller than the sum of its proper divisors (72643336).

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

72485984 is a wasteful number, since it uses less digits than its factorization.

72485984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38462 (or 38454 counting only the distinct ones).

The product of its digits is 645120, while the sum is 47.

The square root of 72485984 is about 8513.8700953209. The cubic root of 72485984 is about 416.9506734302.

The spelling of 72485984 in words is "seventy-two million, four hundred eighty-five thousand, nine hundred eighty-four".