82745712 has 150 divisors (see below), whose sum is σ = 278804328. Its totient is φ = 23623488.

The previous prime is 82745699. The next prime is 82745723. The reversal of 82745712 is 21754728.

82745712 is a `hidden beast` number, since 82 + 7 + 4 + 571 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62853 + ... + 64155.

Almost surely, 2^82745712 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 82745712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139402164).

82745712 is an abundant number, since it is smaller than the sum of its proper divisors (196058616).

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

82745712 is a wasteful number, since it uses less digits than its factorization.

82745712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1315 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 82745712 is about 9096.4670064811. The cubic root of 82745712 is about 435.7611406645.

The spelling of 82745712 in words is "eighty-two million, seven hundred forty-five thousand, seven hundred twelve".