72913973 has 8 divisors (see below), whose sum is σ = 80287200. Its totient is φ = 65664880.

The previous prime is 72913957. The next prime is 72913987. The reversal of 72913973 is 37931927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72913973 - 2⁴ = 72913957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72913973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72913913) 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 7 ways as a sum of consecutive naturals, for example, 29798 + ... + 32151.

It is an arithmetic number, because the mean of its divisors is an integer number (10035900).

Almost surely, 2^72913973 is an apocalyptic number.

It is an amenable number.

72913973 is a deficient number, since it is larger than the sum of its proper divisors (7373227).

72913973 is a wasteful number, since it uses less digits than its factorization.

72913973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62067.

The product of its digits is 71442, while the sum is 41.

The square root of 72913973 is about 8538.9679118732. The cubic root of 72913973 is about 417.7696834109.

The spelling of 72913973 in words is "seventy-two million, nine hundred thirteen thousand, nine hundred seventy-three".