7973952 has 112 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 2138112.

The previous prime is 7973941. The next prime is 7973971. The reversal of 7973952 is 2593797.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (119070) is a multiple of the sum of its prime divisors (378).

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, 22674 + ... + 23022.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^7973952 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 7973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

7973952 is an abundant number, since it is smaller than the sum of its proper divisors (17629248).

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

7973952 is a wasteful number, since it uses less digits than its factorization.

7973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its digits is 119070, while the sum is 42.

The square root of 7973952 is about 2823.8186910636. The cubic root of 7973952 is about 199.7826973166.

The spelling of 7973952 in words is "seven million, nine hundred seventy-three thousand, nine hundred fifty-two".