72918090 has 128 divisors (see below), whose sum is σ = 227888640. Its totient is φ = 16243200.

The previous prime is 72918037. The next prime is 72918091. The reversal of 72918090 is 9081927.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72918091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77020 + ... + 77960.

It is an arithmetic number, because the mean of its divisors is an integer number (1780380).

Almost surely, 2^72918090 is an apocalyptic number.

72918090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72918090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113944320).

72918090 is an abundant number, since it is smaller than the sum of its proper divisors (154970550).

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

72918090 is a wasteful number, since it uses less digits than its factorization.

72918090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 72918090 is about 8539.2089797592. The cubic root of 72918090 is about 417.7775462176. Note that the first 3 decimals are identical.

The spelling of 72918090 in words is "seventy-two million, nine hundred eighteen thousand, ninety".