36006144 has 72 divisors (see below), whose sum is σ = 96738432. Its totient is φ = 11888640.

The previous prime is 36006127. The next prime is 36006161. The reversal of 36006144 is 44160063.

It is an interprime number because it is at equal distance from previous prime (36006127) and next prime (36006161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132729 + ... + 132999.

Almost surely, 2^36006144 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 36006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48369216).

36006144 is an abundant number, since it is smaller than the sum of its proper divisors (60732288).

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

36006144 is a wasteful number, since it uses less digits than its factorization.

36006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36006144 is about 6000.5119781565. The cubic root of 36006144 is about 330.2115081182.

The spelling of 36006144 in words is "thirty-six million, six thousand, one hundred forty-four".