72617687 has 8 divisors (see below), whose sum is σ = 73725600. Its totient is φ = 71517600.

The previous prime is 72617651. The next prime is 72617689. The reversal of 72617687 is 78671627.

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 72617687 - 2²⁴ = 55840471 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72617689) 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, 18293 + ... + 21905.

It is an arithmetic number, because the mean of its divisors is an integer number (9215700).

Almost surely, 2^72617687 is an apocalyptic number.

72617687 is a deficient number, since it is larger than the sum of its proper divisors (1107913).

72617687 is a wasteful number, since it uses less digits than its factorization.

72617687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913.

The product of its digits is 197568, while the sum is 44.

The square root of 72617687 is about 8521.6011993052. The cubic root of 72617687 is about 417.2030460347.

The spelling of 72617687 in words is "seventy-two million, six hundred seventeen thousand, six hundred eighty-seven".