242572 has 24 divisors (see below), whose sum is σ = 478800. Its totient is φ = 106560.

The previous prime is 242551. The next prime is 242591. The reversal of 242572 is 275242.

242572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2³ + 4⁴ + 5⁷ + 2¹⁵ + 7³ + 2¹⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1554 + ... + 1702.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2²⁴²⁵⁷² is an apocalyptic number.

242572 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242572 is a deficient number, since it is larger than the sum of its proper divisors (236228).

242572 is a wasteful number, since it uses less digits than its factorization.

242572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 242572 is about 492.5159895882. The cubic root of 242572 is about 62.3658562934.

242572 divided by its sum of digits (22) gives a triangular number (11026 = T₁₄₈).

The spelling of 242572 in words is "two hundred forty-two thousand, five hundred seventy-two".