1952117172 has 72 divisors (see below), whose sum is σ = 5179146336. Its totient is φ = 642839328.

The previous prime is 1952117161. The next prime is 1952117173. The reversal of 1952117172 is 2717112591.

It is a super-2 number, since 2×1952117172² = 7621522906434555168, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952117173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68578 + ... + 92774.

It is an arithmetic number, because the mean of its divisors is an integer number (71932588).

Almost surely, 2^1952117172 is an apocalyptic number.

1952117172 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 1952117172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589573168).

1952117172 is an abundant number, since it is smaller than the sum of its proper divisors (3227029164).

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

1952117172 is a wasteful number, since it uses less digits than its factorization.

1952117172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24299 (or 24285 counting only the distinct ones).

The product of its digits is 8820, while the sum is 36.

The square root of 1952117172 is about 44182.7700806547. The cubic root of 1952117172 is about 1249.7849597016.

The spelling of 1952117172 in words is "one billion, nine hundred fifty-two million, one hundred seventeen thousand, one hundred seventy-two".