72146984 has 32 divisors (see below), whose sum is σ = 166494720. Its totient is φ = 28541376.

The previous prime is 72146953. The next prime is 72146989. The reversal of 72146984 is 48964127.

72146984 = 372² + 373² + ... + 644².

It is not an unprimeable number, because it can be changed into a prime (72146989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48824 + ... + 50279.

It is an arithmetic number, because the mean of its divisors is an integer number (5202960).

Almost surely, 2^72146984 is an apocalyptic number.

It is an amenable number.

72146984 is an abundant number, since it is smaller than the sum of its proper divisors (94347736).

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

72146984 is a wasteful number, since it uses less digits than its factorization.

72146984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99129 (or 99125 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 72146984 is about 8493.9380737088. The cubic root of 72146984 is about 416.2996638942.

The spelling of 72146984 in words is "seventy-two million, one hundred forty-six thousand, nine hundred eighty-four".