72617765 has 16 divisors (see below), whose sum is σ = 97384896. Its totient is φ = 51523200.

The previous prime is 72617747. The next prime is 72617767. The reversal of 72617765 is 56771627.

It is not a de Polignac number, because 72617765 - 2²⁰ = 71569189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72617767) 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 15 ways as a sum of consecutive naturals, for example, 13847 + ... + 18356.

It is an arithmetic number, because the mean of its divisors is an integer number (6086556).

Almost surely, 2^72617765 is an apocalyptic number.

It is an amenable number.

72617765 is a deficient number, since it is larger than the sum of its proper divisors (24767131).

72617765 is a wasteful number, since it uses less digits than its factorization.

72617765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32260.

The product of its digits is 123480, while the sum is 41.

The square root of 72617765 is about 8521.6057759087. The cubic root of 72617765 is about 417.2031954098.

The spelling of 72617765 in words is "seventy-two million, six hundred seventeen thousand, seven hundred sixty-five".