72499224 has 64 divisors (see below), whose sum is σ = 211392000. Its totient is φ = 20711712.

The previous prime is 72499213. The next prime is 72499249. The reversal of 72499224 is 42299427.

It is a super-2 number, since 2×72499224² = 10512274961204352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3829 + ... + 12635.

It is an arithmetic number, because the mean of its divisors is an integer number (3303000).

Almost surely, 2^72499224 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 72499224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105696000).

72499224 is an abundant number, since it is smaller than the sum of its proper divisors (138892776).

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

72499224 is a wasteful number, since it uses less digits than its factorization.

72499224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837 (or 8819 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 72499224 is about 8514.6476145522. The cubic root of 72499224 is about 416.9760580656.

The spelling of 72499224 in words is "seventy-two million, four hundred ninety-nine thousand, two hundred twenty-four".