36833472 has 84 divisors (see below), whose sum is σ = 113720880. Its totient is φ = 11331072.

The previous prime is 36833449. The next prime is 36833473. The reversal of 36833472 is 27433863.

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

It is not an unprimeable number, because it can be changed into a prime (36833473) 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 11 ways as a sum of consecutive naturals, for example, 5029 + ... + 9947.

It is an arithmetic number, because the mean of its divisors is an integer number (1353820).

Almost surely, 2^36833472 is an apocalyptic number.

36833472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36833472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56860440).

36833472 is an abundant number, since it is smaller than the sum of its proper divisors (76887408).

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

36833472 is a wasteful number, since it uses less digits than its factorization.

36833472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4937 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 36833472 is about 6069.0585760890. The cubic root of 36833472 is about 332.7215159477.

The spelling of 36833472 in words is "thirty-six million, eight hundred thirty-three thousand, four hundred seventy-two".