72420160 has 28 divisors (see below), whose sum is σ = 172451268. Its totient is φ = 28967936.

The previous prime is 72420157. The next prime is 72420167. The reversal of 72420160 is 6102427.

It can be written as a sum of positive squares in 2 ways, for example, as 30118144 + 42302016 = 5488^2 + 6504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72420167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112837 + ... + 113476.

Almost surely, 2^72420160 is an apocalyptic number.

It is an amenable number.

72420160 is an abundant number, since it is smaller than the sum of its proper divisors (100031108).

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

72420160 is a wasteful number, since it uses less digits than its factorization.

72420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226330 (or 226320 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 72420160 is about 8510.0035252637. The cubic root of 72420160 is about 416.8244252396.

Adding to 72420160 its reverse (6102427), we get a palindrome (78522587).

The spelling of 72420160 in words is "seventy-two million, four hundred twenty thousand, one hundred sixty".