73972801 has 12 divisors (see below), whose sum is σ = 86734848. Its totient is φ = 62900712.

The previous prime is 73972753. The next prime is 73972819. The reversal of 73972801 is 10827937.

It is not a de Polignac number, because 73972801 - 2⁷ = 73972673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73972861) 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 11 ways as a sum of consecutive naturals, for example, 280 + ... + 12166.

It is an arithmetic number, because the mean of its divisors is an integer number (7227904).

Almost surely, 2^73972801 is an apocalyptic number.

It is an amenable number.

73972801 is a deficient number, since it is larger than the sum of its proper divisors (12762047).

73972801 is a wasteful number, since it uses less digits than its factorization.

73972801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12028 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 73972801 is about 8600.7442119854. The cubic root of 73972801 is about 419.7822018914.

The spelling of 73972801 in words is "seventy-three million, nine hundred seventy-two thousand, eight hundred one".