72927984 has 20 divisors (see below), whose sum is σ = 188397416. Its totient is φ = 24309312.

The previous prime is 72927983. The next prime is 72927991. The reversal of 72927984 is 48972927.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1519333 = 72927984 / (7 + 2 + 9 + 2 + 7 + 9 + 8 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72927983) 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, 759619 + ... + 759714.

Almost surely, 2^72927984 is an apocalyptic number.

It is an amenable number.

72927984 is an abundant number, since it is smaller than the sum of its proper divisors (115469432).

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

72927984 is a wasteful number, since it uses less digits than its factorization.

72927984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519344 (or 1519338 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 72927984 is about 8539.7882877739. The cubic root of 72927984 is about 417.7964409532.

The spelling of 72927984 in words is "seventy-two million, nine hundred twenty-seven thousand, nine hundred eighty-four".