237072 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 71680.

The previous prime is 237071. The next prime is 237073. The reversal of 237072 is 270732.

It is an interprime number because it is at equal distance from previous prime (237071) and next prime (237073).

It is not an unprimeable number, because it can be changed into a prime (237071) 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, 304 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2²³⁷⁰⁷² is an apocalyptic number.

237072 is a gapful number since it is divisible by the number (22) 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 237072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

237072 is an abundant number, since it is smaller than the sum of its proper divisors (432528).

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

237072 is a wasteful number, since it uses less digits than its factorization.

237072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 237072 is about 486.9004004927. The cubic root of 237072 is about 61.8908937846.

It can be divided in two parts, 2370 and 72, that added together give a palindrome (2442).

The spelling of 237072 in words is "two hundred thirty-seven thousand, seventy-two".