195132672 has 288 divisors, whose sum is σ = 683513600. Its totient is φ = 53747712.

The previous prime is 195132659. The next prime is 195132683. The reversal of 195132672 is 276231591.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1790154 + ... + 1790262.

Almost surely, 2^195132672 is an apocalyptic number.

195132672 is a gapful number since it is divisible by the number (12) 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 195132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341756800).

195132672 is an abundant number, since it is smaller than the sum of its proper divisors (488380928).

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

195132672 is a wasteful number, since it uses less digits than its factorization.

195132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 195132672 is about 13968.9896556623. The cubic root of 195132672 is about 580.0204828280.

The spelling of 195132672 in words is "one hundred ninety-five million, one hundred thirty-two thousand, six hundred seventy-two".