36762 has 16 divisors (see below), whose sum is σ = 80352. Its totient is φ = 11120.

The previous prime is 36761. The next prime is 36767. The reversal of 36762 is 26763.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 3⁴ + 6³ + 7⁴ + 6⁴ + 2¹⁵ .

It is a nialpdrome in base 6.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36762.

It is not an unprimeable number, because it can be changed into a prime (36761) 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, 213 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (5022).

2³⁶⁷⁶² is an apocalyptic number.

36762 is an abundant number, since it is smaller than the sum of its proper divisors (43590).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176).

36762 is a wasteful number, since it uses less digits than its factorization.

36762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573.

The product of its digits is 1512, while the sum is 24.

The square root of 36762 is about 191.7341910041. The cubic root of 36762 is about 33.2506171329.

Multiplying 36762 by its sum of digits (24), we get a palindrome (882288).

Subtracting from 36762 its reverse (26763), we obtain a palindrome (9999).

The spelling of 36762 in words is "thirty-six thousand, seven hundred sixty-two".