72362160 has 200 divisors, whose sum is σ = 270972240. Its totient is φ = 17791488.

The previous prime is 72362159. The next prime is 72362161. The reversal of 72362160 is 6126327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72362159) and next prime (72362161).

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

It is not an unprimeable number, because it can be changed into a prime (72362161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83811 + ... + 84669.

Almost surely, 2^72362160 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 72362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135486120).

72362160 is an abundant number, since it is smaller than the sum of its proper divisors (198610080).

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

72362160 is a wasteful number, since it uses less digits than its factorization.

72362160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72362160 is about 8506.5950885181. The cubic root of 72362160 is about 416.7131197986.

Adding to 72362160 its reverse (6126327), we get a palindrome (78488487).

The spelling of 72362160 in words is "seventy-two million, three hundred sixty-two thousand, one hundred sixty".