72672768 has 160 divisors (see below), whose sum is σ = 246174720. Its totient is φ = 20736000.

The previous prime is 72672751. The next prime is 72672781. The reversal of 72672768 is 86727627.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96393 + ... + 97143.

It is an arithmetic number, because the mean of its divisors is an integer number (1538592).

Almost surely, 2^72672768 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 72672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123087360).

72672768 is an abundant number, since it is smaller than the sum of its proper divisors (173501952).

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

72672768 is an equidigital number, since it uses as much as digits as its factorization.

72672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 763 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 72672768 is about 8524.8324323707. The cubic root of 72672768 is about 417.3085031404.

The spelling of 72672768 in words is "seventy-two million, six hundred seventy-two thousand, seven hundred sixty-eight".