36072456 has 64 divisors (see below), whose sum is σ = 105598080. Its totient is φ = 10053120.

The previous prime is 36072401. The next prime is 36072461. The reversal of 36072456 is 65427063.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4270 + ... + 9506.

It is an arithmetic number, because the mean of its divisors is an integer number (1649970).

Almost surely, 2^36072456 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 36072456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52799040).

36072456 is an abundant number, since it is smaller than the sum of its proper divisors (69525624).

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

36072456 is a wasteful number, since it uses less digits than its factorization.

36072456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 36072456 is about 6006.0349649332. The cubic root of 36072456 is about 330.4140990687.

The spelling of 36072456 in words is "thirty-six million, seventy-two thousand, four hundred fifty-six".