7749252 has 108 divisors (see below), whose sum is σ = 23901696. Its totient is φ = 2106720.

The previous prime is 7749251. The next prime is 7749253. The reversal of 7749252 is 2529477.

7749252 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7749251) and next prime (7749253).

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

It is not an unprimeable number, because it can be changed into a prime (7749251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40477 + ... + 40667.

It is an arithmetic number, because the mean of its divisors is an integer number (221312).

Almost surely, 2^7749252 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 7749252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848).

7749252 is an abundant number, since it is smaller than the sum of its proper divisors (16152444).

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

7749252 is a wasteful number, since it uses less digits than its factorization.

7749252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 7749252 is about 2783.7478334073. The cubic root of 7749252 is about 197.8882136062. Note that the first 3 decimals are identical.

It can be divided in two parts, 7749 and 252, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 7749252 in words is "seven million, seven hundred forty-nine thousand, two hundred fifty-two".