82963272 has 192 divisors, whose sum is σ = 262656000. Its totient is φ = 21700224.

The previous prime is 82963207. The next prime is 82963289. The reversal of 82963272 is 27236928.

Its product of digits (72576) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 82963272.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050129 + ... + 1050207.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 2^82963272 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 82963272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

82963272 is an abundant number, since it is smaller than the sum of its proper divisors (179692728).

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

82963272 is a wasteful number, since it uses less digits than its factorization.

82963272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 82963272 is about 9108.4176452334. The cubic root of 82963272 is about 436.1427162343.

The spelling of 82963272 in words is "eighty-two million, nine hundred sixty-three thousand, two hundred seventy-two".