82852072 has 32 divisors (see below), whose sum is σ = 167702400. Its totient is φ = 38256064.

The previous prime is 82852069. The next prime is 82852073. The reversal of 82852072 is 27025828.

It is not an unprimeable number, because it can be changed into a prime (82852073) 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, 2428 + ... + 13099.

It is an arithmetic number, because the mean of its divisors is an integer number (5240700).

Almost surely, 2^82852072 is an apocalyptic number.

It is an amenable number.

82852072 is an abundant number, since it is smaller than the sum of its proper divisors (84850328).

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

82852072 is a wasteful number, since it uses less digits than its factorization.

82852072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15585 (or 15581 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 82852072 is about 9102.3113548153. The cubic root of 82852072 is about 435.9477674992.

It can be divided in two parts, 828 and 52072, that added together give a square (52900 = 230²).

The spelling of 82852072 in words is "eighty-two million, eight hundred fifty-two thousand, seventy-two".