36750168 has 192 divisors, whose sum is σ = 125798400. Its totient is φ = 9434880.

The previous prime is 36750167. The next prime is 36750169. The reversal of 36750168 is 86105763.

It is an interprime number because it is at equal distance from previous prime (36750167) and next prime (36750169).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36750167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465153 + ... + 465231.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^36750168 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 36750168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

36750168 is an abundant number, since it is smaller than the sum of its proper divisors (89048232).

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

36750168 is a wasteful number, since it uses less digits than its factorization.

36750168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 36750168 is about 6062.1916828817. The cubic root of 36750168 is about 332.4704946777.

The spelling of 36750168 in words is "thirty-six million, seven hundred fifty thousand, one hundred sixty-eight".