72280935 has 24 divisors (see below), whose sum is σ = 125568144. Its totient is φ = 38463360.

The previous prime is 72280919. The next prime is 72280937. The reversal of 72280935 is 53908227.

72280935 = 377² + 378² + ... + 646².

It is a happy number.

It is not a de Polignac number, because 72280935 - 2⁴ = 72280919 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72280935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72280937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21904 + ... + 24986.

It is an arithmetic number, because the mean of its divisors is an integer number (5232006).

Almost surely, 2^72280935 is an apocalyptic number.

72280935 is a deficient number, since it is larger than the sum of its proper divisors (53287209).

72280935 is a wasteful number, since it uses less digits than its factorization.

72280935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72280935 is about 8501.8195111400. The cubic root of 72280935 is about 416.5571441919.

The spelling of 72280935 in words is "seventy-two million, two hundred eighty thousand, nine hundred thirty-five".