5632792 has 48 divisors (see below), whose sum is σ = 12143880. Its totient is φ = 2449040.

The previous prime is 5632777. The next prime is 5632799. The reversal of 5632792 is 2972365.

It is a happy number.

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 is a d-powerful number, because it can be written as 5⁵ + 6⁴ + 3⁹ + 2⁷ + 7⁷ + 9⁷ + 2¹¹ .

Its product of digits (22680) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632799) 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, 244893 + ... + 244915.

Almost surely, 2^5632792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071940).

5632792 is an abundant number, since it is smaller than the sum of its proper divisors (6511088).

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

5632792 is a wasteful number, since it uses less digits than its factorization.

5632792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 5632792 is about 2373.3503744707. The cubic root of 5632792 is about 177.9267467800.

It can be divided in two parts, 5632 and 792, that multiplied together give a square (4460544 = 2112²).

The spelling of 5632792 in words is "five million, six hundred thirty-two thousand, seven hundred ninety-two".