82723632 has 40 divisors (see below), whose sum is σ = 226275696. Its totient is φ = 25952256.

The previous prime is 82723603. The next prime is 82723633. The reversal of 82723632 is 23632728.

It is a junction number, because it is equal to n+sod(n) for n = 82723593 and 82723602.

It is not an unprimeable number, because it can be changed into a prime (82723633) 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, 49873 + ... + 51504.

Almost surely, 2^82723632 is an apocalyptic number.

It is an amenable number.

82723632 is an abundant number, since it is smaller than the sum of its proper divisors (143552064).

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

82723632 is a wasteful number, since it uses less digits than its factorization.

82723632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101405 (or 101399 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 82723632 is about 9095.2532675017. The cubic root of 82723632 is about 435.7223774799.

The spelling of 82723632 in words is "eighty-two million, seven hundred twenty-three thousand, six hundred thirty-two".