72026160 has 40 divisors (see below), whose sum is σ = 223281840. Its totient is φ = 19206912.

The previous prime is 72026147. The next prime is 72026167. The reversal of 72026160 is 6162027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72026160.

It is not an unprimeable number, because it can be changed into a prime (72026167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149815 + ... + 150294.

It is an arithmetic number, because the mean of its divisors is an integer number (5582046).

Almost surely, 2^72026160 is an apocalyptic number.

It is an amenable number.

72026160 is an abundant number, since it is smaller than the sum of its proper divisors (151255680).

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

72026160 is a wasteful number, since it uses less digits than its factorization.

72026160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300125 (or 300119 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72026160 is about 8486.8227270281. The cubic root of 72026160 is about 416.0671427621.

Adding to 72026160 its reverse (6162027), we get a palindrome (78188187).

The spelling of 72026160 in words is "seventy-two million, twenty-six thousand, one hundred sixty".