82772721 has 24 divisors (see below), whose sum is σ = 128791520. Its totient is φ = 51057216.

The previous prime is 82772707. The next prime is 82772749. The reversal of 82772721 is 12727728.

It is not a de Polignac number, because 82772721 - 2¹¹ = 82770673 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82772771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1725 + ... + 12981.

Almost surely, 2^82772721 is an apocalyptic number.

It is an amenable number.

82772721 is a deficient number, since it is larger than the sum of its proper divisors (46018799).

82772721 is a wasteful number, since it uses less digits than its factorization.

82772721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11322 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 82772721 is about 9097.9514727218. The cubic root of 82772721 is about 435.8085477226.

The spelling of 82772721 in words is "eighty-two million, seven hundred seventy-two thousand, seven hundred twenty-one".