82209972 has 48 divisors (see below), whose sum is σ = 209437760. Its totient is φ = 24945408.

The previous prime is 82209971. The next prime is 82209973. The reversal of 82209972 is 27990228.

It is an interprime number because it is at equal distance from previous prime (82209971) and next prime (82209973).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82209972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82209971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7779 + ... + 14997.

Almost surely, 2^82209972 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 82209972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104718880).

82209972 is an abundant number, since it is smaller than the sum of its proper divisors (127227788).

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

82209972 is a wasteful number, since it uses less digits than its factorization.

82209972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 82209972 is about 9066.9714899739. The cubic root of 82209972 is about 434.8186534355.

The spelling of 82209972 in words is "eighty-two million, two hundred nine thousand, nine hundred seventy-two".