240372 has 36 divisors (see below), whose sum is σ = 663936. Its totient is φ = 72720.

The previous prime is 240371. The next prime is 240379. The reversal of 240372 is 273042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93 + ... + 699.

2²⁴⁰³⁷² is an apocalyptic number.

240372 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 240372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331968).

240372 is an abundant number, since it is smaller than the sum of its proper divisors (423564).

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

240372 is a wasteful number, since it uses less digits than its factorization.

240372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 240372 is about 490.2774724582. The cubic root of 240372 is about 62.1767416134.

The spelling of 240372 in words is "two hundred forty thousand, three hundred seventy-two", and thus it is an iban number.