195075072 has 132 divisors (see below), whose sum is σ = 574158936. Its totient is φ = 63774720.

The previous prime is 195075019. The next prime is 195075073. The reversal of 195075072 is 270570591.

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 (195075073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562003 + ... + 562349.

Almost surely, 2^195075072 is an apocalyptic number.

195075072 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 195075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287079468).

195075072 is an abundant number, since it is smaller than the sum of its proper divisors (379083864).

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

195075072 is a wasteful number, since it uses less digits than its factorization.

195075072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 195075072 is about 13966.9277938994. The cubic root of 195075072 is about 579.9634063318.

The spelling of 195075072 in words is "one hundred ninety-five million, seventy-five thousand, seventy-two".