72959972 has 6 divisors (see below), whose sum is σ = 127679958. Its totient is φ = 36479984.

The previous prime is 72959963. The next prime is 72959977. The reversal of 72959972 is 27995927.

It can be written as a sum of positive squares in only one way, i.e., 56911936 + 16048036 = 7544^2 + 4006^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72959972.

It is not an unprimeable number, because it can be changed into a prime (72959977) by changing a digit.

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 as a sum of consecutive naturals, namely, 9119993 + ... + 9120000.

It is an arithmetic number, because the mean of its divisors is an integer number (21279993).

Almost surely, 2^72959972 is an apocalyptic number.

It is an amenable number.

72959972 is a deficient number, since it is larger than the sum of its proper divisors (54719986).

72959972 is a wasteful number, since it uses less digits than its factorization.

72959972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18239997 (or 18239995 counting only the distinct ones).

The product of its digits is 714420, while the sum is 50.

The square root of 72959972 is about 8541.6609625997. The cubic root of 72959972 is about 417.8575172749.

The spelling of 72959972 in words is "seventy-two million, nine hundred fifty-nine thousand, nine hundred seventy-two".