72290160 has 60 divisors (see below), whose sum is σ = 242776872. Its totient is φ = 19277184.

The previous prime is 72290159. The next prime is 72290189. The reversal of 72290160 is 6109227.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×72290160³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49482 + ... + 50921.

Almost surely, 2^72290160 is an apocalyptic number.

It is an amenable number.

72290160 is an abundant number, since it is smaller than the sum of its proper divisors (170486712).

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

72290160 is a wasteful number, since it uses less digits than its factorization.

72290160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100422 (or 100413 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72290160 is about 8502.3620247552. The cubic root of 72290160 is about 416.5748647530.

Adding to 72290160 its reverse (6109227), we get a palindrome (78399387).

The spelling of 72290160 in words is "seventy-two million, two hundred ninety thousand, one hundred sixty".