36051872 has 48 divisors (see below), whose sum is σ = 74912040. Its totient is φ = 17052672.

The previous prime is 36051863. The next prime is 36051877. The reversal of 36051872 is 27815063.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35952016 + 99856 = 5996^2 + 316^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (36051877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48818 + ... + 49550.

Almost surely, 2^36051872 is an apocalyptic number.

36051872 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 36051872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37456020).

36051872 is an abundant number, since it is smaller than the sum of its proper divisors (38860168).

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

36051872 is a wasteful number, since it uses less digits than its factorization.

36051872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 36051872 is about 6004.3211106669. The cubic root of 36051872 is about 330.3512391229.

The spelling of 36051872 in words is "thirty-six million, fifty-one thousand, eight hundred seventy-two".