72202160 has 80 divisors (see below), whose sum is σ = 174155520. Its totient is φ = 27820800.

The previous prime is 72202157. The next prime is 72202171. The reversal of 72202160 is 6120227.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 478085 + ... + 478235.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^72202160 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 72202160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

72202160 is an abundant number, since it is smaller than the sum of its proper divisors (101953360).

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

72202160 is a wasteful number, since it uses less digits than its factorization.

72202160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 72202160 is about 8497.1854163599. The cubic root of 72202160 is about 416.4057616404.

Adding to 72202160 its reverse (6120227), we get a palindrome (78322387).

The spelling of 72202160 in words is "seventy-two million, two hundred two thousand, one hundred sixty".