72748984 has 64 divisors (see below), whose sum is σ = 180092160. Its totient is φ = 26672640.

The previous prime is 72748981. The next prime is 72749009. The reversal of 72748984 is 48984727.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72748981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6999 + ... + 13945.

It is an arithmetic number, because the mean of its divisors is an integer number (2813940).

Almost surely, 2^72748984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72748984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90046080).

72748984 is an abundant number, since it is smaller than the sum of its proper divisors (107343176).

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

72748984 is a wasteful number, since it uses less digits than its factorization.

72748984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6988 (or 6984 counting only the distinct ones).

The product of its digits is 903168, while the sum is 49.

The square root of 72748984 is about 8529.3014954333. The cubic root of 72748984 is about 417.4543371002.

The spelling of 72748984 in words is "seventy-two million, seven hundred forty-eight thousand, nine hundred eighty-four".