82672560 has 120 divisors (see below), whose sum is σ = 279520800. Its totient is φ = 21897216.

The previous prime is 82672549. The next prime is 82672561. The reversal of 82672560 is 6527628.

82672560 is a `hidden beast` number, since 8 + 26 + 72 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (82672561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142992 + ... + 143568.

It is an arithmetic number, because the mean of its divisors is an integer number (2329340).

Almost surely, 2^82672560 is an apocalyptic number.

82672560 is a gapful number since it is divisible by the number (80) 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 82672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139760400).

82672560 is an abundant number, since it is smaller than the sum of its proper divisors (196848240).

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

82672560 is a wasteful number, since it uses less digits than its factorization.

82672560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 82672560 is about 9092.4452156722. The cubic root of 82672560 is about 435.6326901122.

The spelling of 82672560 in words is "eighty-two million, six hundred seventy-two thousand, five hundred sixty".