72673993 has 12 divisors (see below), whose sum is σ = 87660480. Its totient is φ = 59011416.

The previous prime is 72673987. The next prime is 72674003. The reversal of 72673993 is 39937627.

It is not a de Polignac number, because 72673993 - 2⁹ = 72673481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72673903) 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 in 11 ways as a sum of consecutive naturals, for example, 11853 + ... + 16906.

It is an arithmetic number, because the mean of its divisors is an integer number (7305040).

Almost surely, 2^72673993 is an apocalyptic number.

It is an amenable number.

72673993 is a deficient number, since it is larger than the sum of its proper divisors (14986487).

72673993 is a wasteful number, since it uses less digits than its factorization.

72673993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28804 (or 28785 counting only the distinct ones).

The product of its digits is 428652, while the sum is 46.

The square root of 72673993 is about 8524.9042809876. The cubic root of 72673993 is about 417.3108478978.

The spelling of 72673993 in words is "seventy-two million, six hundred seventy-three thousand, nine hundred ninety-three".