73972368 has 30 divisors (see below), whose sum is σ = 207020294. Its totient is φ = 24657408.

The previous prime is 73972351. The next prime is 73972369. The reversal of 73972368 is 86327937.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 39538944 + 34433424 = 6288^2 + 5868^2 .

It is a super-2 number, since 2×73972368² = 10943822455054848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (73972369) 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 5 ways as a sum of consecutive naturals, for example, 256705 + ... + 256992.

Almost surely, 2^73972368 is an apocalyptic number.

It is an amenable number.

73972368 is an abundant number, since it is smaller than the sum of its proper divisors (133047926).

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

73972368 is a wasteful number, since it uses less digits than its factorization.

73972368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513711 (or 513702 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 73972368 is about 8600.7190397082. The cubic root of 73972368 is about 419.7813828244.

The spelling of 73972368 in words is "seventy-three million, nine hundred seventy-two thousand, three hundred sixty-eight".