82572240 has 80 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 21920256.

The previous prime is 82572239. The next prime is 82572257. The reversal of 82572240 is 4227528.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82572198 and 82572207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63921 + ... + 65199.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^82572240 is an apocalyptic number.

82572240 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 82572240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

82572240 is an abundant number, since it is smaller than the sum of its proper divisors (174554160).

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

82572240 is a wasteful number, since it uses less digits than its factorization.

82572240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 82572240 is about 9086.9268732614. The cubic root of 82572240 is about 435.4564109027.

Adding to 82572240 its reverse (4227528), we get a palindrome (86799768).

The spelling of 82572240 in words is "eighty-two million, five hundred seventy-two thousand, two hundred forty".