14792000 has 84 divisors (see below), whose sum is σ = 37504116. Its totient is φ = 5779200.

The previous prime is 14791979. The next prime is 14792003. The reversal of 14792000 is 29741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 473344 + 14318656 = 688^2 + 3784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14792003) 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, 343979 + ... + 344021.

Almost surely, 2^14792000 is an apocalyptic number.

14792000 is a gapful number since it is divisible by the number (10) 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 14792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18752058).

14792000 is an abundant number, since it is smaller than the sum of its proper divisors (22712116).

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

14792000 is an frugal number, since it uses more digits than its factorization.

14792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 14792000 is about 3846.0369212996. The cubic root of 14792000 is about 245.4759593904.

The spelling of 14792000 in words is "fourteen million, seven hundred ninety-two thousand".