72751617 has 12 divisors (see below), whose sum is σ = 105239680. Its totient is φ = 48430008.

The previous prime is 72751603. The next prime is 72751621. The reversal of 72751617 is 71615727.

It is not a de Polignac number, because 72751617 - 2⁷ = 72751489 is a prime.

It is a super-2 number, since 2×72751617² = 10585595552229378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72751667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 984 + ... + 12102.

Almost surely, 2^72751617 is an apocalyptic number.

It is an amenable number.

72751617 is a deficient number, since it is larger than the sum of its proper divisors (32488063).

72751617 is a wasteful number, since it uses less digits than its factorization.

72751617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11849 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 72751617 is about 8529.4558443080. The cubic root of 72751617 is about 417.4593733401.

It can be divided in two parts, 7275 and 1617, that multiplied together give a triangular number (11763675 = T₄₈₅₀).

The spelling of 72751617 in words is "seventy-two million, seven hundred fifty-one thousand, six hundred seventeen".