36073856 has 128 divisors (see below), whose sum is σ = 93676800. Its totient is φ = 13436928.

The previous prime is 36073841. The next prime is 36073859. The reversal of 36073856 is 65837063.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36073859) 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, 221231 + ... + 221393.

It is an arithmetic number, because the mean of its divisors is an integer number (731850).

Almost surely, 2^36073856 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 36073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46838400).

36073856 is an abundant number, since it is smaller than the sum of its proper divisors (57602944).

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

36073856 is a wasteful number, since it uses less digits than its factorization.

36073856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 36073856 is about 6006.1515132404. The cubic root of 36073856 is about 330.4183735559.

The spelling of 36073856 in words is "thirty-six million, seventy-three thousand, eight hundred fifty-six".