36123192 has 96 divisors (see below), whose sum is σ = 116758800. Its totient is φ = 10317888.

The previous prime is 36123169. The next prime is 36123193. The reversal of 36123192 is 29132163.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36123193) by changing a digit.

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, 8878 + ... + 12290.

Almost surely, 2^36123192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36123192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58379400).

36123192 is an abundant number, since it is smaller than the sum of its proper divisors (80635608).

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

36123192 is a wasteful number, since it uses less digits than its factorization.

36123192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3425 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 36123192 is about 6010.2572324319. The cubic root of 36123192 is about 330.5689359187.

It can be divided in two parts, 36123 and 192, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 36123192 in words is "thirty-six million, one hundred twenty-three thousand, one hundred ninety-two".