72144765 has 96 divisors (see below), whose sum is σ = 159584256. Its totient is φ = 29278080.

The previous prime is 72144739. The next prime is 72144769. The reversal of 72144765 is 56744127.

It is not a de Polignac number, because 72144765 - 2⁶ = 72144701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72144769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162634 + ... + 163076.

It is an arithmetic number, because the mean of its divisors is an integer number (1662336).

Almost surely, 2^72144765 is an apocalyptic number.

It is an amenable number.

72144765 is an abundant number, since it is smaller than the sum of its proper divisors (87439491).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72144765 is a wasteful number, since it uses less digits than its factorization.

72144765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 516 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72144765 is about 8493.8074501368. The cubic root of 72144765 is about 416.2953958552.

The spelling of 72144765 in words is "seventy-two million, one hundred forty-four thousand, seven hundred sixty-five".