72000090 has 80 divisors (see below), whose sum is σ = 195706368. Its totient is φ = 18991584.

The previous prime is 72000053. The next prime is 72000091. The reversal of 72000090 is 9000027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (72000091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82999 + ... + 83861.

Almost surely, 2^72000090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72000090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97853184).

72000090 is an abundant number, since it is smaller than the sum of its proper divisors (123706278).

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

72000090 is a wasteful number, since it uses less digits than its factorization.

72000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 72000090 is about 8485.2866775378. The cubic root of 72000090 is about 416.0169379506.

The spelling of 72000090 in words is "seventy-two million, ninety", and thus it is an aban number and an uban number.