72713160 has 128 divisors (see below), whose sum is σ = 261072000. Its totient is φ = 17895168.

The previous prime is 72713153. The next prime is 72713219. The reversal of 72713160 is 6131727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11451 + ... + 16629.

It is an arithmetic number, because the mean of its divisors is an integer number (2039625).

Almost surely, 2^72713160 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 72713160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130536000).

72713160 is an abundant number, since it is smaller than the sum of its proper divisors (188358840).

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

72713160 is a wasteful number, since it uses less digits than its factorization.

72713160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72713160 is about 8527.2011820996. The cubic root of 72713160 is about 417.3858030865.

Adding to 72713160 its reverse (6131727), we get a palindrome (78844887).

The spelling of 72713160 in words is "seventy-two million, seven hundred thirteen thousand, one hundred sixty".