42472 has 8 divisors (see below), whose sum is σ = 79650. Its totient is φ = 21232.

The previous prime is 42467. The next prime is 42473. The reversal of 42472 is 27424.

42472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 42436 + 36 = 206^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (42473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2647 + ... + 2662.

2⁴²⁴⁷² is an apocalyptic number.

It is an amenable number.

42472 is a deficient number, since it is larger than the sum of its proper divisors (37178).

42472 is a wasteful number, since it uses less digits than its factorization.

42472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315 (or 5311 counting only the distinct ones).

The product of its digits is 448, while the sum is 19.

The square root of 42472 is about 206.0873601170. The cubic root of 42472 is about 34.8899947510.

Subtracting from 42472 its product of digits (448), we obtain a palindrome (42024).

Adding to 42472 its reverse (27424), we get a palindrome (69896).

It can be divided in two parts, 424 and 72, that added together give a triangular number (496 = T₃₁).

The spelling of 42472 in words is "forty-two thousand, four hundred seventy-two", and thus it is an iban number.