7385952 has 96 divisors (see below), whose sum is σ = 22982400. Its totient is φ = 2032128.

The previous prime is 7385897. The next prime is 7385953. The reversal of 7385952 is 2595837.

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

Its product of digits (75600) is a multiple of the sum of its prime divisors (420).

It is a self number, because there is not a number n which added to its sum of digits gives 7385952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7385953) 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, 19299 + ... + 19677.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 2^7385952 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 7385952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491200).

7385952 is an abundant number, since it is smaller than the sum of its proper divisors (15596448).

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

7385952 is a wasteful number, since it uses less digits than its factorization.

7385952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 7385952 is about 2717.7108013915. The cubic root of 7385952 is about 194.7461258988.

The spelling of 7385952 in words is "seven million, three hundred eighty-five thousand, nine hundred fifty-two".