371952 has 100 divisors (see below), whose sum is σ = 1260336. Its totient is φ = 103680.

The previous prime is 371951. The next prime is 371957. The reversal of 371952 is 259173.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 371952.

It is not an unprimeable number, because it can be changed into a prime (371951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9052 + ... + 9092.

2³⁷¹⁹⁵² 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 371952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630168).

371952 is an abundant number, since it is smaller than the sum of its proper divisors (888384).

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

371952 is a wasteful number, since it uses less digits than its factorization.

371952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 371952 is about 609.8786764595. The cubic root of 371952 is about 71.9165700296.

The spelling of 371952 in words is "three hundred seventy-one thousand, nine hundred fifty-two".