36472 has 16 divisors (see below), whose sum is σ = 70560. Its totient is φ = 17664.

The previous prime is 36469. The next prime is 36473. The reversal of 36472 is 27463.

36472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁵ + 6² + 4⁵ + 7⁴ + 2¹⁵ .

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 36472.

It is not an unprimeable number, because it can be changed into a prime (36473) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2³⁶⁴⁷² is an apocalyptic number.

It is an amenable number.

36472 is a deficient number, since it is larger than the sum of its proper divisors (34088).

36472 is a wasteful number, since it uses less digits than its factorization.

36472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 36472 is about 190.9764383373. The cubic root of 36472 is about 33.1629528205.

Subtracting from 36472 its reverse (27463), we obtain a palindrome (9009).

The spelling of 36472 in words is "thirty-six thousand, four hundred seventy-two".