82772025 has 72 divisors (see below), whose sum is σ = 161489664. Its totient is φ = 37296000.

The previous prime is 82771991. The next prime is 82772143. The reversal of 82772025 is 52027728.

It is not a de Polignac number, because 82772025 - 2¹² = 82767929 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 371064 + ... + 371286.

It is an arithmetic number, because the mean of its divisors is an integer number (2242912).

Almost surely, 2^82772025 is an apocalyptic number.

It is an amenable number.

82772025 is a deficient number, since it is larger than the sum of its proper divisors (78717639).

82772025 is a wasteful number, since it uses less digits than its factorization.

82772025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 82772025 is about 9097.9132222725. The cubic root of 82772025 is about 435.8073262107.

The spelling of 82772025 in words is "eighty-two million, seven hundred seventy-two thousand, twenty-five".