72090408 has 64 divisors (see below), whose sum is σ = 204321600. Its totient is φ = 21012480.

The previous prime is 72090401. The next prime is 72090409. The reversal of 72090408 is 80409027.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72090401) 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, 153 + ... + 12008.

It is an arithmetic number, because the mean of its divisors is an integer number (3192525).

Almost surely, 2^72090408 is an apocalyptic number.

72090408 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72090408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102160800).

72090408 is an abundant number, since it is smaller than the sum of its proper divisors (132231192).

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

72090408 is a wasteful number, since it uses less digits than its factorization.

72090408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12202 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72090408 is about 8490.6070454356. The cubic root of 72090408 is about 416.1908179078.

The spelling of 72090408 in words is "seventy-two million, ninety thousand, four hundred eight".