82906272 has 144 divisors (see below), whose sum is σ = 252252000. Its totient is φ = 25754112.

The previous prime is 82906249. The next prime is 82906301. The reversal of 82906272 is 27260928.

82906272 is a `hidden beast` number, since 8 + 29 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 596379 + ... + 596517.

It is an arithmetic number, because the mean of its divisors is an integer number (1751750).

Almost surely, 2^82906272 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 82906272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126126000).

82906272 is an abundant number, since it is smaller than the sum of its proper divisors (169345728).

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

82906272 is a wasteful number, since it uses less digits than its factorization.

82906272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 82906272 is about 9105.2881338264. The cubic root of 82906272 is about 436.0428092522.

The spelling of 82906272 in words is "eighty-two million, nine hundred six thousand, two hundred seventy-two".