72680160 has 192 divisors, whose sum is σ = 265531392. Its totient is φ = 16367616.

The previous prime is 72680147. The next prime is 72680183. The reversal of 72680160 is 6108627.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325809 + ... + 326031.

It is an arithmetic number, because the mean of its divisors is an integer number (1382976).

Almost surely, 2^72680160 is an apocalyptic number.

72680160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72680160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765696).

72680160 is an abundant number, since it is smaller than the sum of its proper divisors (192851232).

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

72680160 is a wasteful number, since it uses less digits than its factorization.

72680160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 72680160 is about 8525.2659782555. The cubic root of 72680160 is about 417.3226516766.

Adding to 72680160 its reverse (6108627), we get a palindrome (78788787).

The spelling of 72680160 in words is "seventy-two million, six hundred eighty thousand, one hundred sixty".