194038272 has 120 divisors (see below), whose sum is σ = 593188596. Its totient is φ = 60850176.

The previous prime is 194038267. The next prime is 194038277. The reversal of 194038272 is 272830491.

194038272 = T₂₈ + T₂₉ + ... + T₁₀₅₁.

It is an interprime number because it is at equal distance from previous prime (194038267) and next prime (194038277).

It can be written as a sum of positive squares in 2 ways, for example, as 189778176 + 4260096 = 13776^2 + 2064^2 .

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

It is not an unprimeable number, because it can be changed into a prime (194038277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77098 + ... + 79574.

Almost surely, 2^194038272 is an apocalyptic number.

194038272 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 194038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296594298).

194038272 is an abundant number, since it is smaller than the sum of its proper divisors (399150324).

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

194038272 is a wasteful number, since it uses less digits than its factorization.

194038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 194038272 is about 13929.7620941637. The cubic root of 194038272 is about 578.9341025883.

The spelling of 194038272 in words is "one hundred ninety-four million, thirty-eight thousand, two hundred seventy-two".