73984272 has 80 divisors (see below), whose sum is σ = 205379712. Its totient is φ = 22865920.

The previous prime is 73984189. The next prime is 73984297. The reversal of 73984272 is 27248937.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57298 + ... + 58574.

Almost surely, 2^73984272 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 73984272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102689856).

73984272 is an abundant number, since it is smaller than the sum of its proper divisors (131395440).

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

73984272 is a wasteful number, since it uses less digits than its factorization.

73984272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1370 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 73984272 is about 8601.4110470318. The cubic root of 73984272 is about 419.8038993834.

It can be divided in two parts, 73984 and 272, that multiplied together give a cube (20123648 = 272³).

The spelling of 73984272 in words is "seventy-three million, nine hundred eighty-four thousand, two hundred seventy-two".