36127872 has 96 divisors (see below), whose sum is σ = 113452560. Its totient is φ = 10944000.

The previous prime is 36127849. The next prime is 36127877. The reversal of 36127872 is 27872163.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36127877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11247 + ... + 14097.

Almost surely, 2^36127872 is an apocalyptic number.

36127872 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 36127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56726280).

36127872 is an abundant number, since it is smaller than the sum of its proper divisors (77324688).

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

36127872 is a wasteful number, since it uses less digits than its factorization.

36127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2867 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 36127872 is about 6010.6465542402. The cubic root of 36127872 is about 330.5832111043.

The spelling of 36127872 in words is "thirty-six million, one hundred twenty-seven thousand, eight hundred seventy-two".