193132072 has 16 divisors (see below), whose sum is σ = 413854560. Its totient is φ = 82770864.

The previous prime is 193132067. The next prime is 193132073. The reversal of 193132072 is 270231391.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 193132072.

It is not an unprimeable number, because it can be changed into a prime (193132073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1724338 + ... + 1724449.

It is an arithmetic number, because the mean of its divisors is an integer number (25865910).

Almost surely, 2^193132072 is an apocalyptic number.

It is an amenable number.

193132072 is an abundant number, since it is smaller than the sum of its proper divisors (220722488).

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

193132072 is a wasteful number, since it uses less digits than its factorization.

193132072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448800 (or 3448796 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 193132072 is about 13897.1965518230. The cubic root of 193132072 is about 578.0314474654.

The spelling of 193132072 in words is "one hundred ninety-three million, one hundred thirty-two thousand, seventy-two".