82572336 has 180 divisors, whose sum is σ = 290720976. Its totient is φ = 21415680.

The previous prime is 82572293. The next prime is 82572337. The reversal of 82572336 is 63327528.

82572336 is a `hidden beast` number, since 82 + 572 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime factors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 82572336.

It is not an unprimeable number, because it can be changed into a prime (82572337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121630 + ... + 122306.

Almost surely, 2^82572336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82572336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145360488).

82572336 is an abundant number, since it is smaller than the sum of its proper divisors (208148640).

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

82572336 is a wasteful number, since it uses less digits than its factorization.

82572336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 82572336 is about 9086.9321555737. The cubic root of 82572336 is about 435.4565796592.

The spelling of 82572336 in words is "eighty-two million, five hundred seventy-two thousand, three hundred thirty-six".