72680292 has 18 divisors (see below), whose sum is σ = 183719718. Its totient is φ = 24226752.

The previous prime is 72680291. The next prime is 72680317. The reversal of 72680292 is 29208627.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 15163236 = 7584^2 + 3894^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2018897 = 72680292 / (7 + 2 + 6 + 8 + 0 + 2 + 9 + 2).

It is not an unprimeable number, because it can be changed into a prime (72680291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1009413 + ... + 1009484.

It is an arithmetic number, because the mean of its divisors is an integer number (10206651).

Almost surely, 2^72680292 is an apocalyptic number.

It is an amenable number.

72680292 is an abundant number, since it is smaller than the sum of its proper divisors (111039426).

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

72680292 is a wasteful number, since it uses less digits than its factorization.

72680292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018907 (or 2018902 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72680292 is about 8525.2737199459. The cubic root of 72680292 is about 417.3229043203.

It can be divided in two parts, 726 and 80292, that added together give a palindrome (81018).

The spelling of 72680292 in words is "seventy-two million, six hundred eighty thousand, two hundred ninety-two".