36872440 has 64 divisors (see below), whose sum is σ = 92482560. Its totient is φ = 13115520.

The previous prime is 36872401. The next prime is 36872441. The reversal of 36872440 is 4427863.

36872440 = T₃₉₁ + T₃₉₂ + ... + T₆₅₄.

It is a junction number, because it is equal to n+sod(n) for n = 36872396 and 36872405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36872441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19789 + ... + 21571.

It is an arithmetic number, because the mean of its divisors is an integer number (1445040).

Almost surely, 2^36872440 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 36872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46241280).

36872440 is an abundant number, since it is smaller than the sum of its proper divisors (55610120).

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

36872440 is a wasteful number, since it uses less digits than its factorization.

36872440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 36872440 is about 6072.2681100228. The cubic root of 36872440 is about 332.8388089219.

The spelling of 36872440 in words is "thirty-six million, eight hundred seventy-two thousand, four hundred forty".