36872448 has 72 divisors (see below), whose sum is σ = 100613856. Its totient is φ = 11980800.

The previous prime is 36872447. The next prime is 36872449. The reversal of 36872448 is 84427863.

It is an interprime number because it is at equal distance from previous prime (36872447) and next prime (36872449).

It is a super-3 number, since 3×36872448³ (a number of 24 digits) contains 333 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30903 + ... + 32073.

Almost surely, 2^36872448 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 36872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50306928).

36872448 is an abundant number, since it is smaller than the sum of its proper divisors (63741408).

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

36872448 is a wasteful number, since it uses less digits than its factorization.

36872448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1217 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 36872448 is about 6072.2687687552. The cubic root of 36872448 is about 332.8388329932.

The spelling of 36872448 in words is "thirty-six million, eight hundred seventy-two thousand, four hundred forty-eight".