72310160 has 80 divisors (see below), whose sum is σ = 188987904. Its totient is φ = 25529856.

The previous prime is 72310151. The next prime is 72310187. The reversal of 72310160 is 6101327.

It is a happy number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22409 + ... + 25431.

Almost surely, 2^72310160 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 72310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

72310160 is an abundant number, since it is smaller than the sum of its proper divisors (116677744).

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

72310160 is a wasteful number, since it uses less digits than its factorization.

72310160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 72310160 is about 8503.5380871729. The cubic root of 72310160 is about 416.6132781373.

Adding to 72310160 its reverse (6101327), we get a palindrome (78411487).

The spelling of 72310160 in words is "seventy-two million, three hundred ten thousand, one hundred sixty".