102172672 has 48 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 43782144.

The previous prime is 102172667. The next prime is 102172717. The reversal of 102172672 is 276271201.

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 102172672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10773 + ... + 17899.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^102172672 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 102172672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

102172672 is an abundant number, since it is smaller than the sum of its proper divisors (131340608).

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

102172672 is an frugal number, since it uses more digits than its factorization.

102172672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7156 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 102172672 is about 10108.0498613729. The cubic root of 102172672 is about 467.4963779067.

The spelling of 102172672 in words is "one hundred two million, one hundred seventy-two thousand, six hundred seventy-two".