195072672 has 48 divisors (see below), whose sum is σ = 515495232. Its totient is φ = 64588800.

The previous prime is 195072667. The next prime is 195072679. The reversal of 195072672 is 276270591.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×195072672² = 76106694722439168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 195072672.

It is not an unprimeable number, because it can be changed into a prime (195072679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7768 + ... + 21224.

It is an arithmetic number, because the mean of its divisors is an integer number (10739484).

Almost surely, 2^195072672 is an apocalyptic number.

195072672 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 195072672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257747616).

195072672 is an abundant number, since it is smaller than the sum of its proper divisors (320422560).

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

195072672 is a wasteful number, since it uses less digits than its factorization.

195072672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13621 (or 13613 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The square root of 195072672 is about 13966.8418763871. The cubic root of 195072672 is about 579.9610279006.

The spelling of 195072672 in words is "one hundred ninety-five million, seventy-two thousand, six hundred seventy-two".