72965473 has 8 divisors (see below), whose sum is σ = 83889792. Its totient is φ = 62166336.

The previous prime is 72965461. The next prime is 72965489. The reversal of 72965473 is 37456927.

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 72965473 - 2⁹ = 72964961 is a prime.

It is a super-2 number, since 2×72965473² = 10647920500227458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72965423) 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 7 ways as a sum of consecutive naturals, for example, 30040 + ... + 32377.

It is an arithmetic number, because the mean of its divisors is an integer number (10486224).

Almost surely, 2^72965473 is an apocalyptic number.

It is an amenable number.

72965473 is a deficient number, since it is larger than the sum of its proper divisors (10924319).

72965473 is a wasteful number, since it uses less digits than its factorization.

72965473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62591.

The product of its digits is 317520, while the sum is 43.

The square root of 72965473 is about 8541.9829665014. The cubic root of 72965473 is about 417.8680188160.

It can be divided in two parts, 7296 and 5473, that added together give a square (12769 = 113²).

The spelling of 72965473 in words is "seventy-two million, nine hundred sixty-five thousand, four hundred seventy-three".