72090960 has 80 divisors (see below), whose sum is σ = 225193920. Its totient is φ = 19077120.

The previous prime is 72090943. The next prime is 72090973. The reversal of 72090960 is 6909027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32280 + ... + 34440.

It is an arithmetic number, because the mean of its divisors is an integer number (2814924).

Almost surely, 2^72090960 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 72090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112596960).

72090960 is an abundant number, since it is smaller than the sum of its proper divisors (153102960).

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

72090960 is a wasteful number, since it uses less digits than its factorization.

72090960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 72090960 is about 8490.6395518830. The cubic root of 72090960 is about 416.1918801699.

Adding to 72090960 its reverse (6909027), we get a palindrome (78999987).

The spelling of 72090960 in words is "seventy-two million, ninety thousand, nine hundred sixty".