72589090 has 32 divisors (see below), whose sum is σ = 152380800. Its totient is φ = 24886512.

The previous prime is 72589087. The next prime is 72589091. The reversal of 72589090 is 9098527.

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 (72589091) 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 15 ways as a sum of consecutive naturals, for example, 7152 + ... + 14011.

It is an arithmetic number, because the mean of its divisors is an integer number (4761900).

Almost surely, 2^72589090 is an apocalyptic number.

72589090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72589090 is an abundant number, since it is smaller than the sum of its proper divisors (79791710).

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

72589090 is a wasteful number, since it uses less digits than its factorization.

72589090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21191 (or 21177 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 72589090 is about 8519.9231217189. The cubic root of 72589090 is about 417.1482736945.

The spelling of 72589090 in words is "seventy-two million, five hundred eighty-nine thousand, ninety".