36837072 has 80 divisors (see below), whose sum is σ = 107314560. Its totient is φ = 12096000.

The previous prime is 36837043. The next prime is 36837077. The reversal of 36837072 is 27073863.

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 (36837077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30072 + ... + 31272.

It is an arithmetic number, because the mean of its divisors is an integer number (1341432).

Almost surely, 2^36837072 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 36837072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53657280).

36837072 is an abundant number, since it is smaller than the sum of its proper divisors (70477488).

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

36837072 is a wasteful number, since it uses less digits than its factorization.

36837072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 36837072 is about 6069.3551552039. The cubic root of 36837072 is about 332.7323553498.

The spelling of 36837072 in words is "thirty-six million, eight hundred thirty-seven thousand, seventy-two".