7433952 has 48 divisors (see below), whose sum is σ = 19660032. Its totient is φ = 2459520.

The previous prime is 7433927. The next prime is 7433953. The reversal of 7433952 is 2593347.

It is a happy number.

7433952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7433953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20073 + ... + 20439.

It is an arithmetic number, because the mean of its divisors is an integer number (409584).

Almost surely, 2^7433952 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 7433952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830016).

7433952 is an abundant number, since it is smaller than the sum of its proper divisors (12226080).

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

7433952 is a wasteful number, since it uses less digits than its factorization.

7433952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 7433952 is about 2726.5274618093. The cubic root of 7433952 is about 195.1670888705.

It can be divided in two parts, 7433 and 952, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 7433952 in words is "seven million, four hundred thirty-three thousand, nine hundred fifty-two".