73996272 has 90 divisors (see below), whose sum is σ = 240919848. Its totient is φ = 21139776.

The previous prime is 73996261. The next prime is 73996289. The reversal of 73996272 is 27269937.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1813 + ... + 12299.

Almost surely, 2^73996272 is an apocalyptic number.

73996272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73996272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120459924).

73996272 is an abundant number, since it is smaller than the sum of its proper divisors (166923576).

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

73996272 is a wasteful number, since it uses less digits than its factorization.

73996272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10499 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 73996272 is about 8602.1085787149. The cubic root of 73996272 is about 419.8265950830.

The spelling of 73996272 in words is "seventy-three million, nine hundred ninety-six thousand, two hundred seventy-two".