72782020 has 24 divisors (see below), whose sum is σ = 153115200. Its totient is φ = 29060832.

The previous prime is 72781999. The next prime is 72782041. The reversal of 72782020 is 2028727.

It is an interprime number because it is at equal distance from previous prime (72781999) and next prime (72782041).

It is a self number, because there is not a number n which added to its sum of digits gives 72782020.

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, 9441 + ... + 15319.

It is an arithmetic number, because the mean of its divisors is an integer number (6379800).

Almost surely, 2^72782020 is an apocalyptic number.

It is an amenable number.

72782020 is an abundant number, since it is smaller than the sum of its proper divisors (80333180).

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

72782020 is a wasteful number, since it uses less digits than its factorization.

72782020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 72782020 is about 8531.2378937643. The cubic root of 72782020 is about 417.5175175219.

The spelling of 72782020 in words is "seventy-two million, seven hundred eighty-two thousand, twenty".