72459765 has 80 divisors (see below), whose sum is σ = 151240320. Its totient is φ = 32503680.

The previous prime is 72459733. The next prime is 72459809. The reversal of 72459765 is 56795427.

It is not a de Polignac number, because 72459765 - 2⁵ = 72459733 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (529200) is a multiple of the sum of its prime factors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 72459765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172726 + ... + 173144.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^72459765 is an apocalyptic number.

It is an amenable number.

72459765 is an abundant number, since it is smaller than the sum of its proper divisors (78780555).

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

72459765 is a wasteful number, since it uses less digits than its factorization.

72459765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 495 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 72459765 is about 8512.3301745174. The cubic root of 72459765 is about 416.9003954433.

The spelling of 72459765 in words is "seventy-two million, four hundred fifty-nine thousand, seven hundred sixty-five".