72812682 has 80 divisors (see below), whose sum is σ = 170197632. Its totient is φ = 23250240.

The previous prime is 72812669. The next prime is 72812699. The reversal of 72812682 is 28621827.

It is a happy number.

Its product of digits (21504) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 555757 + ... + 555887.

Almost surely, 2^72812682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72812682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85098816).

72812682 is an abundant number, since it is smaller than the sum of its proper divisors (97384950).

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

72812682 is a wasteful number, since it uses less digits than its factorization.

72812682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

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

The square root of 72812682 is about 8533.0347473803. The cubic root of 72812682 is about 417.5761406305.

The spelling of 72812682 in words is "seventy-two million, eight hundred twelve thousand, six hundred eighty-two".