72787360 has 24 divisors (see below), whose sum is σ = 171960516. Its totient is φ = 29114880.

The previous prime is 72787357. The next prime is 72787369. The reversal of 72787360 is 6378727.

It can be written as a sum of positive squares in 2 ways, for example, as 71842576 + 944784 = 8476^2 + 972^2 .

It is a Smith number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (72787369) 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 3 ways as a sum of consecutive naturals, for example, 227301 + ... + 227620.

Almost surely, 2^72787360 is an apocalyptic number.

It is an amenable number.

72787360 is an abundant number, since it is smaller than the sum of its proper divisors (99173156).

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

72787360 is a wasteful number, since it uses less digits than its factorization.

72787360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454936 (or 454928 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 72787360 is about 8531.5508555010. The cubic root of 72787360 is about 417.5277283268.

The spelling of 72787360 in words is "seventy-two million, seven hundred eighty-seven thousand, three hundred sixty".