72805240 has 32 divisors (see below), whose sum is σ = 164268000. Its totient is φ = 29041024.

The previous prime is 72805231. The next prime is 72805253. The reversal of 72805240 is 4250827.

It is a junction number, because it is equal to n+sod(n) for n = 72805199 and 72805208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13221 + ... + 17899.

It is an arithmetic number, because the mean of its divisors is an integer number (5133375).

Almost surely, 2^72805240 is an apocalyptic number.

It is an amenable number.

72805240 is an abundant number, since it is smaller than the sum of its proper divisors (91462760).

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

72805240 is a wasteful number, since it uses less digits than its factorization.

72805240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5079 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 72805240 is about 8532.5986662915. The cubic root of 72805240 is about 417.5619136788.

The spelling of 72805240 in words is "seventy-two million, eight hundred five thousand, two hundred forty".