1920172032 has 192 divisors, whose sum is σ = 5888712960. Its totient is φ = 600834048.

The previous prime is 1920172003. The next prime is 1920172057. The reversal of 1920172032 is 2302710291.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1920171987 and 1920172005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5013313 + ... + 5013695.

It is an arithmetic number, because the mean of its divisors is an integer number (30670380).

Almost surely, 2^1920172032 is an apocalyptic number.

1920172032 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 1920172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944356480).

1920172032 is an abundant number, since it is smaller than the sum of its proper divisors (3968540928).

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

1920172032 is an equidigital number, since it uses as much as digits as its factorization.

1920172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 405 counting only the distinct ones).

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

The square root of 1920172032 is about 43819.7675940893. The cubic root of 1920172032 is about 1242.9301223439.

The spelling of 1920172032 in words is "one billion, nine hundred twenty million, one hundred seventy-two thousand, thirty-two".