36772142 has 48 divisors (see below), whose sum is σ = 64120896. Its totient is φ = 15787200.

The previous prime is 36772103. The next prime is 36772187. The reversal of 36772142 is 24127763.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36772099 and 36772108.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 602792 + ... + 602852.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 2^36772142 is an apocalyptic number.

36772142 is a deficient number, since it is larger than the sum of its proper divisors (27348754).

36772142 is a wasteful number, since it uses less digits than its factorization.

36772142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 36772142 is about 6064.0037928748. The cubic root of 36772142 is about 332.5367460849.

It can be divided in two parts, 367721 and 42, that added together give a palindrome (367763).

The spelling of 36772142 in words is "thirty-six million, seven hundred seventy-two thousand, one hundred forty-two".