36168972 has 96 divisors (see below), whose sum is σ = 102208512. Its totient is φ = 9732096.

The previous prime is 36168967. The next prime is 36168973. The reversal of 36168972 is 27986163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (36168973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187308 + ... + 187500.

It is an arithmetic number, because the mean of its divisors is an integer number (1064672).

Almost surely, 2^36168972 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 36168972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51104256).

36168972 is an abundant number, since it is smaller than the sum of its proper divisors (66039540).

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

36168972 is a wasteful number, since it uses less digits than its factorization.

36168972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 36168972 is about 6014.0645157830. The cubic root of 36168972 is about 330.7085235956.

The spelling of 36168972 in words is "thirty-six million, one hundred sixty-eight thousand, nine hundred seventy-two".