8392752 has 60 divisors (see below), whose sum is σ = 23696400. Its totient is φ = 2772864.

The previous prime is 8392739. The next prime is 8392753. The reversal of 8392752 is 2572938.

It is a happy number.

It is a super-4 number, since 4×8392752⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a d-powerful number, because it can be written as 8³ + 3³ + 9 + 2⁷ + 7³ + 5⁵ + 2²³ .

It is not an unprimeable number, because it can be changed into a prime (8392753) 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, 23874 + ... + 24222.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 2^8392752 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 8392752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848200).

8392752 is an abundant number, since it is smaller than the sum of its proper divisors (15303648).

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

8392752 is a wasteful number, since it uses less digits than its factorization.

8392752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 8392752 is about 2897.0246805990. The cubic root of 8392752 is about 203.2207875483.

The spelling of 8392752 in words is "eight million, three hundred ninety-two thousand, seven hundred fifty-two".