72798570 has 96 divisors (see below), whose sum is σ = 208720512. Its totient is φ = 17490816.

The previous prime is 72798563. The next prime is 72798577. The reversal of 72798570 is 7589727.

72798570 is a `hidden beast` number, since 7 + 2 + 79 + 8 + 570 = 666.

It is an interprime number because it is at equal distance from previous prime (72798563) and next prime (72798577).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72798577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49587 + ... + 51033.

It is an arithmetic number, because the mean of its divisors is an integer number (2174172).

Almost surely, 2^72798570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72798570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104360256).

72798570 is an abundant number, since it is smaller than the sum of its proper divisors (135921942).

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

72798570 is a wasteful number, since it uses less digits than its factorization.

72798570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 72798570 is about 8532.2078033766. The cubic root of 72798570 is about 417.5491617440.

The spelling of 72798570 in words is "seventy-two million, seven hundred ninety-eight thousand, five hundred seventy".