72680328 has 192 divisors, whose sum is σ = 240240000. Its totient is φ = 20575296.

The previous prime is 72680323. The next prime is 72680329. The reversal of 72680328 is 82308627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72680292 and 72680301.

It is not an unprimeable number, because it can be changed into a prime (72680323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666738 + ... + 666846.

It is an arithmetic number, because the mean of its divisors is an integer number (1251250).

Almost surely, 2^72680328 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 72680328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120120000).

72680328 is an abundant number, since it is smaller than the sum of its proper divisors (167559672).

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

72680328 is a wasteful number, since it uses less digits than its factorization.

72680328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72680328 is about 8525.2758313148. The cubic root of 72680328 is about 417.3229732231.

The spelling of 72680328 in words is "seventy-two million, six hundred eighty thousand, three hundred twenty-eight".