72090920 has 64 divisors (see below), whose sum is σ = 180014400. Its totient is φ = 25761280.

The previous prime is 72090913. The next prime is 72090923. The reversal of 72090920 is 2909027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72090923) 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, 24572 + ... + 27348.

It is an arithmetic number, because the mean of its divisors is an integer number (2812725).

Almost surely, 2^72090920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90007200).

72090920 is an abundant number, since it is smaller than the sum of its proper divisors (107923480).

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

72090920 is a wasteful number, since it uses less digits than its factorization.

72090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 72090920 is about 8490.6371963475. The cubic root of 72090920 is about 416.1918031946.

Adding to 72090920 its reverse (2909027), we get a palindrome (74999947).

The spelling of 72090920 in words is "seventy-two million, ninety thousand, nine hundred twenty".