195084072 has 64 divisors (see below), whose sum is σ = 547545600. Its totient is φ = 64350720.

The previous prime is 195084067. The next prime is 195084079. The reversal of 195084072 is 270480591.

195084072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195084079) 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, 16297 + ... + 25607.

It is an arithmetic number, because the mean of its divisors is an integer number (8555400).

Almost surely, 2^195084072 is an apocalyptic number.

195084072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

195084072 is the 6984-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195084072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273772800).

195084072 is an abundant number, since it is smaller than the sum of its proper divisors (352461528).

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

195084072 is a wasteful number, since it uses less digits than its factorization.

195084072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9423 (or 9413 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 195084072 is about 13967.2499798636. The cubic root of 195084072 is about 579.9723252748.

The spelling of 195084072 in words is "one hundred ninety-five million, eighty-four thousand, seventy-two".