73249968 has 40 divisors (see below), whose sum is σ = 206433216. Its totient is φ = 22196800.

The previous prime is 73249951. The next prime is 73249987. The reversal of 73249968 is 86994237.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 68838 + ... + 69893.

Almost surely, 2^73249968 is an apocalyptic number.

It is an amenable number.

73249968 is an abundant number, since it is smaller than the sum of its proper divisors (133183248).

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

73249968 is a wasteful number, since it uses less digits than its factorization.

73249968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138753 (or 138747 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 73249968 is about 8558.6195148517. The cubic root of 73249968 is about 418.4104086313.

It can be divided in two parts, 7 and 3249968, that added together give a triangular number (3249975 = T₂₅₄₉).

The spelling of 73249968 in words is "seventy-three million, two hundred forty-nine thousand, nine hundred sixty-eight".