72512224 has 48 divisors (see below), whose sum is σ = 149700096. Its totient is φ = 34531200.

The previous prime is 72512221. The next prime is 72512257. The reversal of 72512224 is 42221527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72512221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65919 + ... + 67009.

It is an arithmetic number, because the mean of its divisors is an integer number (3118752).

Almost surely, 2^72512224 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 72512224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74850048).

72512224 is an abundant number, since it is smaller than the sum of its proper divisors (77187872).

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

72512224 is a wasteful number, since it uses less digits than its factorization.

72512224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1191 counting only the distinct ones).

The product of its digits is 2240, while the sum is 25.

The square root of 72512224 is about 8515.4109707048. The cubic root of 72512224 is about 417.0009795498. Note that the first 3 decimals are identical.

The spelling of 72512224 in words is "seventy-two million, five hundred twelve thousand, two hundred twenty-four".