7942752 has 96 divisors (see below), whose sum is σ = 24040800. Its totient is φ = 2548224.

The previous prime is 7942747. The next prime is 7942769. The reversal of 7942752 is 2572497.

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

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 7⁴ + 9 + 4⁴ + 2³ + 7⁸ + 5⁷ + 2²¹ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24898 + ... + 25214.

It is an arithmetic number, because the mean of its divisors is an integer number (250425).

Almost surely, 2^7942752 is an apocalyptic number.

7942752 is a gapful number since it is divisible by the number (72) 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 7942752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020400).

7942752 is an abundant number, since it is smaller than the sum of its proper divisors (16098048).

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

7942752 is a wasteful number, since it uses less digits than its factorization.

7942752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

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

The square root of 7942752 is about 2818.2888425426. The cubic root of 7942752 is about 199.5217908246.

The spelling of 7942752 in words is "seven million, nine hundred forty-two thousand, seven hundred fifty-two".