82442472 has 64 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 22978560.

The previous prime is 82442471. The next prime is 82442473. The reversal of 82442472 is 27424428.

It is an interprime number because it is at equal distance from previous prime (82442471) and next prime (82442473).

It is a super-2 number, since 2×82442472² = 13593522378941568, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82442471) 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, 904 + ... + 12872.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2^82442472 is an apocalyptic number.

82442472 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82442472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

82442472 is an abundant number, since it is smaller than the sum of its proper divisors (158872728).

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

82442472 is a wasteful number, since it uses less digits than its factorization.

82442472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12026 (or 12022 counting only the distinct ones).

The product of its digits is 28672, while the sum is 33.

The square root of 82442472 is about 9079.7836978642. The cubic root of 82442472 is about 435.2281746510.

The spelling of 82442472 in words is "eighty-two million, four hundred forty-two thousand, four hundred seventy-two".