72010160 has 40 divisors (see below), whose sum is σ = 167983296. Its totient is φ = 28707840.

The previous prime is 72010153. The next prime is 72010163. The reversal of 72010160 is 6101027.

It is a happy number.

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

It is a super-3 number, since 3×72010160³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72010163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25625 + ... + 28295.

Almost surely, 2^72010160 is an apocalyptic number.

It is an amenable number.

72010160 is an abundant number, since it is smaller than the sum of its proper divisors (95973136).

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

72010160 is a wasteful number, since it uses less digits than its factorization.

72010160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 72010160 is about 8485.8800368612. The cubic root of 72010160 is about 416.0363318860.

Adding to 72010160 its reverse (6101027), we get a palindrome (78111187).

The spelling of 72010160 in words is "seventy-two million, ten thousand, one hundred sixty".