82543572 has 18 divisors (see below), whose sum is σ = 208651898. Its totient is φ = 27514512.

The previous prime is 82543567. The next prime is 82543577. The reversal of 82543572 is 27534528.

82543572 is a `hidden beast` number, since 82 + 5 + 4 + 3 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (82543567) and next prime (82543577).

It can be written as a sum of positive squares in only one way, i.e., 79495056 + 3048516 = 8916^2 + 1746^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2292877 = 82543572 / (8 + 2 + 5 + 4 + 3 + 5 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82543577) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1146403 + ... + 1146474.

Almost surely, 2^82543572 is an apocalyptic number.

It is an amenable number.

82543572 is an abundant number, since it is smaller than the sum of its proper divisors (126108326).

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

82543572 is a wasteful number, since it uses less digits than its factorization.

82543572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292887 (or 2292882 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 82543572 is about 9085.3493053377. The cubic root of 82543572 is about 435.4060101490.

The spelling of 82543572 in words is "eighty-two million, five hundred forty-three thousand, five hundred seventy-two".