72589010 has 32 divisors (see below), whose sum is σ = 142657200. Its totient is φ = 26431488.

The previous prime is 72588979. The next prime is 72589019. The reversal of 72589010 is 1098527.

It can be written as a sum of positive squares in 8 ways, for example, as 5004169 + 67584841 = 2237^2 + 8221^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (72589019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5666 + ... + 13314.

Almost surely, 2^72589010 is an apocalyptic number.

72589010 is a deficient number, since it is larger than the sum of its proper divisors (70068190).

72589010 is a wasteful number, since it uses less digits than its factorization.

72589010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 72589010 is about 8519.9184268395. The cubic root of 72589010 is about 417.1481204489.

The spelling of 72589010 in words is "seventy-two million, five hundred eighty-nine thousand, ten".