7391952 has 80 divisors (see below), whose sum is σ = 21605760. Its totient is φ = 2419200.

The previous prime is 7391941. The next prime is 7391953. The reversal of 7391952 is 2591937.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7391953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30552 + ... + 30792.

It is an arithmetic number, because the mean of its divisors is an integer number (270072).

Almost surely, 2^7391952 is an apocalyptic number.

7391952 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 7391952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

7391952 is an abundant number, since it is smaller than the sum of its proper divisors (14213808).

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

7391952 is a wasteful number, since it uses less digits than its factorization.

7391952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 7391952 is about 2718.8144475120. The cubic root of 7391952 is about 194.7988458232.

The spelling of 7391952 in words is "seven million, three hundred ninety-one thousand, nine hundred fifty-two".