102582172 has 48 divisors (see below), whose sum is σ = 224824320. Its totient is φ = 39787200.

The previous prime is 102582169. The next prime is 102582173. The reversal of 102582172 is 271285201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 102582172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102582173) 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, 82854 + ... + 84082.

It is an arithmetic number, because the mean of its divisors is an integer number (4683840).

Almost surely, 2^102582172 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 102582172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112412160).

102582172 is an abundant number, since it is smaller than the sum of its proper divisors (122242148).

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

102582172 is a wasteful number, since it uses less digits than its factorization.

102582172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 102582172 is about 10128.2857384653. The cubic root of 102582172 is about 468.1201082137.

The spelling of 102582172 in words is "one hundred two million, five hundred eighty-two thousand, one hundred seventy-two".