72286224 has 40 divisors (see below), whose sum is σ = 188565312. Its totient is φ = 23859840.

The previous prime is 72286219. The next prime is 72286229. The reversal of 72286224 is 42268227.

It is an interprime number because it is at equal distance from previous prime (72286219) and next prime (72286229).

It is not an unprimeable number, because it can be changed into a prime (72286229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2367 + ... + 12254.

Almost surely, 2^72286224 is an apocalyptic number.

It is an amenable number.

72286224 is an abundant number, since it is smaller than the sum of its proper divisors (116279088).

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

72286224 is a wasteful number, since it uses less digits than its factorization.

72286224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14735 (or 14729 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 72286224 is about 8502.1305565135. The cubic root of 72286224 is about 416.5673041647.

The spelling of 72286224 in words is "seventy-two million, two hundred eighty-six thousand, two hundred twenty-four".