72743160 has 64 divisors (see below), whose sum is σ = 249408000. Its totient is φ = 16626816.

The previous prime is 72743149. The next prime is 72743161. The reversal of 72743160 is 6134727.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72743161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42460 + ... + 44139.

It is an arithmetic number, because the mean of its divisors is an integer number (3897000).

Almost surely, 2^72743160 is an apocalyptic number.

72743160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72743160 is an abundant number, since it is smaller than the sum of its proper divisors (176664840).

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

72743160 is a wasteful number, since it uses less digits than its factorization.

72743160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86620 (or 86616 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72743160 is about 8528.9600772896. The cubic root of 72743160 is about 417.4431968807.

Adding to 72743160 its reverse (6134727), we get a palindrome (78877887).

The spelling of 72743160 in words is "seventy-two million, seven hundred forty-three thousand, one hundred sixty".