72682128 has 60 divisors (see below), whose sum is σ = 203982480. Its totient is φ = 24159168.

The previous prime is 72682121. The next prime is 72682147. The reversal of 72682128 is 82128627.

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 = 72682092 and 72682101.

It is not an unprimeable number, because it can be changed into a prime (72682121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97983 + ... + 98721.

It is an arithmetic number, because the mean of its divisors is an integer number (3399708).

Almost surely, 2^72682128 is an apocalyptic number.

It is an amenable number.

72682128 is an abundant number, since it is smaller than the sum of its proper divisors (131300352).

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

72682128 is a wasteful number, since it uses less digits than its factorization.

72682128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1427 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 72682128 is about 8525.3813990929. The cubic root of 72682128 is about 417.3264183330.

The spelling of 72682128 in words is "seventy-two million, six hundred eighty-two thousand, one hundred twenty-eight".