72101160 has 96 divisors (see below), whose sum is σ = 240706440. Its totient is φ = 18703872.

The previous prime is 72101129. The next prime is 72101171. The reversal of 72101160 is 6110127.

It can be written as a sum of positive squares in 4 ways, for example, as 61873956 + 10227204 = 7866^2 + 3198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10614 + ... + 16026.

Almost surely, 2^72101160 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 72101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120353220).

72101160 is an abundant number, since it is smaller than the sum of its proper divisors (168605280).

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

72101160 is a wasteful number, since it uses less digits than its factorization.

72101160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5467 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 72101160 is about 8491.2401921039. The cubic root of 72101160 is about 416.2115079521.

Adding to 72101160 its reverse (6110127), we get a palindrome (78211287).

The spelling of 72101160 in words is "seventy-two million, one hundred one thousand, one hundred sixty".