72907973 has 4 divisors (see below), whose sum is σ = 72932460. Its totient is φ = 72883488.

The previous prime is 72907969. The next prime is 72907987. The reversal of 72907973 is 37970927.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 37970927 = 211 ⋅179957.

It can be written as a sum of positive squares in 2 ways, for example, as 708964 + 72199009 = 842^2 + 8497^2 .

It is a cyclic number.

It is not a de Polignac number, because 72907973 - 2² = 72907969 is a prime.

It is a super-3 number, since 3×72907973³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72900973) 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 3 ways as a sum of consecutive naturals, for example, 7040 + ... + 13977.

It is an arithmetic number, because the mean of its divisors is an integer number (18233115).

Almost surely, 2^72907973 is an apocalyptic number.

It is an amenable number.

72907973 is a deficient number, since it is larger than the sum of its proper divisors (24487).

72907973 is a wasteful number, since it uses less digits than its factorization.

72907973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24486.

The product of its (nonzero) digits is 166698, while the sum is 44.

The square root of 72907973 is about 8538.6165741296. The cubic root of 72907973 is about 417.7582238477.

The spelling of 72907973 in words is "seventy-two million, nine hundred seven thousand, nine hundred seventy-three".