36223872 has 128 divisors (see below), whose sum is σ = 105753600. Its totient is φ = 10936320.

The previous prime is 36223853. The next prime is 36223877. The reversal of 36223872 is 27832263.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36223877) 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, 202279 + ... + 202457.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^36223872 is an apocalyptic number.

36223872 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 36223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52876800).

36223872 is an abundant number, since it is smaller than the sum of its proper divisors (69529728).

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

36223872 is a wasteful number, since it uses less digits than its factorization.

36223872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 36223872 is about 6018.6270859723. The cubic root of 36223872 is about 330.8757638069.

The spelling of 36223872 in words is "thirty-six million, two hundred twenty-three thousand, eight hundred seventy-two".