16125792 has 96 divisors (see below), whose sum is σ = 46103904. Its totient is φ = 4915200.

The previous prime is 16125779. The next prime is 16125793. The reversal of 16125792 is 29752161.

16125792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16125793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66792 + ... + 67032.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 2^16125792 is an apocalyptic number.

16125792 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 16125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051952).

16125792 is an abundant number, since it is smaller than the sum of its proper divisors (29978112).

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

16125792 is a wasteful number, since it uses less digits than its factorization.

16125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 16125792 is about 4015.6932153739. The cubic root of 16125792 is about 252.6428535173.

The spelling of 16125792 in words is "sixteen million, one hundred twenty-five thousand, seven hundred ninety-two".