195772320 has 216 divisors, whose sum is σ = 701100036. Its totient is φ = 49741824.

The previous prime is 195772319. The next prime is 195772361. The reversal of 195772320 is 23277591.

It can be written as a sum of positive squares in 2 ways, for example, as 182898576 + 12873744 = 13524^2 + 3588^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 761632 + ... + 761888.

Almost surely, 2^195772320 is an apocalyptic number.

195772320 is a gapful number since it is divisible by the number (10) 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 195772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350550018).

195772320 is an abundant number, since it is smaller than the sum of its proper divisors (505327716).

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

195772320 is a wasteful number, since it uses less digits than its factorization.

195772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 195772320 is about 13991.8662086228. The cubic root of 195772320 is about 580.6535637016.

The spelling of 195772320 in words is "one hundred ninety-five million, seven hundred seventy-two thousand, three hundred twenty".