72961224 has 32 divisors (see below), whose sum is σ = 208461120. Its totient is φ = 20846016.

The previous prime is 72961223. The next prime is 72961243. The reversal of 72961224 is 42216927.

It is not an unprimeable number, because it can be changed into a prime (72961223) 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, 216979 + ... + 217314.

It is an arithmetic number, because the mean of its divisors is an integer number (6514410).

Almost surely, 2^72961224 is an apocalyptic number.

It is an amenable number.

72961224 is an abundant number, since it is smaller than the sum of its proper divisors (135499896).

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

72961224 is a wasteful number, since it uses less digits than its factorization.

72961224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434309 (or 434305 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 72961224 is about 8541.7342501391. The cubic root of 72961224 is about 417.8599074194.

The spelling of 72961224 in words is "seventy-two million, nine hundred sixty-one thousand, two hundred twenty-four".