36903672 has 96 divisors (see below), whose sum is σ = 109090800. Its totient is φ = 11202048.

The previous prime is 36903619. The next prime is 36903673. The reversal of 36903672 is 27630963.

36903672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36903673) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83083 + ... + 83525.

Almost surely, 2^36903672 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 36903672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545400).

36903672 is an abundant number, since it is smaller than the sum of its proper divisors (72187128).

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

36903672 is a wasteful number, since it uses less digits than its factorization.

36903672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 36903672 is about 6074.8392571327. The cubic root of 36903672 is about 332.9327570309.

The spelling of 36903672 in words is "thirty-six million, nine hundred three thousand, six hundred seventy-two".