193122072 has 96 divisors (see below), whose sum is σ = 614512080. Its totient is φ = 54017280.

The previous prime is 193122071. The next prime is 193122077. The reversal of 193122072 is 270221391.

It is a super-2 number, since 2×193122072² = 74592269387146368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193122071) 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 23 ways as a sum of consecutive naturals, for example, 918 + ... + 19674.

Almost surely, 2^193122072 is an apocalyptic number.

193122072 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 193122072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307256040).

193122072 is an abundant number, since it is smaller than the sum of its proper divisors (421390008).

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

193122072 is a wasteful number, since it uses less digits than its factorization.

193122072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18793 (or 18786 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 193122072 is about 13896.8367623715. The cubic root of 193122072 is about 578.0214708483.

It can be divided in two parts, 193 and 122072, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 193122072 in words is "one hundred ninety-three million, one hundred twenty-two thousand, seventy-two".