82572420 has 144 divisors (see below), whose sum is σ = 273006720. Its totient is φ = 18264576.

The previous prime is 82572409. The next prime is 82572433. The reversal of 82572420 is 2427528.

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

It is a congruent number.

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, 927736 + ... + 927824.

It is an arithmetic number, because the mean of its divisors is an integer number (1895880).

Almost surely, 2^82572420 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 82572420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136503360).

82572420 is an abundant number, since it is smaller than the sum of its proper divisors (190434300).

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

82572420 is a wasteful number, since it uses less digits than its factorization.

82572420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 153 counting only the distinct ones).

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

The square root of 82572420 is about 9086.9367775945. The cubic root of 82572420 is about 435.4567273210.

Adding to 82572420 its reverse (2427528), we get a palindrome (84999948).

The spelling of 82572420 in words is "eighty-two million, five hundred seventy-two thousand, four hundred twenty".