36501872 has 40 divisors (see below), whose sum is σ = 77701872. Its totient is φ = 16473600.

The previous prime is 36501863. The next prime is 36501889. The reversal of 36501872 is 27810563.

It is a happy number.

36501872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26972 + ... + 28292.

Almost surely, 2^36501872 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 36501872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38850936).

36501872 is an abundant number, since it is smaller than the sum of its proper divisors (41200000).

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

36501872 is a wasteful number, since it uses less digits than its factorization.

36501872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 36501872 is about 6041.6779126332. The cubic root of 36501872 is about 331.7200426990.

It can be divided in two parts, 36501 and 872, that added together give a palindrome (37373).

The spelling of 36501872 in words is "thirty-six million, five hundred one thousand, eight hundred seventy-two".