81828672 has 56 divisors (see below), whose sum is σ = 217176096. Its totient is φ = 27191808.

The previous prime is 81828653. The next prime is 81828673. The reversal of 81828672 is 27682818.

It is a super-2 number, since 2×81828672² = 13391863122567168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81828673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107718 + ... + 108474.

Almost surely, 2^81828672 is an apocalyptic number.

It is an amenable number.

81828672 is an abundant number, since it is smaller than the sum of its proper divisors (135347424).

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

81828672 is a wasteful number, since it uses less digits than its factorization.

81828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1325 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 81828672 is about 9045.9201853653. The cubic root of 81828672 is about 434.1453638939.

The spelling of 81828672 in words is "eighty-one million, eight hundred twenty-eight thousand, six hundred seventy-two".