72288090 has 48 divisors (see below), whose sum is σ = 214800768. Its totient is φ = 16522848.

The previous prime is 72288089. The next prime is 72288107. The reversal of 72288090 is 9088227.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56742 + ... + 58001.

It is an arithmetic number, because the mean of its divisors is an integer number (4475016).

Almost surely, 2^72288090 is an apocalyptic number.

72288090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72288090 is an abundant number, since it is smaller than the sum of its proper divisors (142512678).

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

72288090 is a wasteful number, since it uses less digits than its factorization.

72288090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114763 (or 114760 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 72288090 is about 8502.2402930051. The cubic root of 72288090 is about 416.5708885632.

The spelling of 72288090 in words is "seventy-two million, two hundred eighty-eight thousand, ninety".