193023072 has 216 divisors, whose sum is σ = 627419520. Its totient is φ = 56179200.

The previous prime is 193023067. The next prime is 193023073. The reversal of 193023072 is 270320391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193023073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1010497 + ... + 1010687.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^193023072 is an apocalyptic number.

193023072 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 193023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

193023072 is an abundant number, since it is smaller than the sum of its proper divisors (434396448).

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

193023072 is a wasteful number, since it uses less digits than its factorization.

193023072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 193023072 is about 13893.2743440846. The cubic root of 193023072 is about 577.9226837511.

The spelling of 193023072 in words is "one hundred ninety-three million, twenty-three thousand, seventy-two".