7133952 has 72 divisors (see below), whose sum is σ = 21715456. Its totient is φ = 2036736.

The previous prime is 7133939. The next prime is 7133957. The reversal of 7133952 is 2593317.

It is a super-2 number, since 2×7133952² = 101786542276608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7133957) 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, 4713 + ... + 6039.

Almost surely, 2^7133952 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 7133952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857728).

7133952 is an abundant number, since it is smaller than the sum of its proper divisors (14581504).

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

7133952 is a wasteful number, since it uses less digits than its factorization.

7133952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1339 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 7133952 is about 2670.9458998639. The cubic root of 7133952 is about 192.5056118002.

The spelling of 7133952 in words is "seven million, one hundred thirty-three thousand, nine hundred fifty-two".