36087872 has 56 divisors (see below), whose sum is σ = 77769720. Its totient is φ = 16547840.

The previous prime is 36087853. The next prime is 36087893. The reversal of 36087872 is 27878063.

It can be written as a sum of positive squares in 4 ways, for example, as 7529536 + 28558336 = 2744^2 + 5344^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 44204 + ... + 45012.

It is an arithmetic number, because the mean of its divisors is an integer number (1388745).

Almost surely, 2^36087872 is an apocalyptic number.

36087872 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 36087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38884860).

36087872 is an abundant number, since it is smaller than the sum of its proper divisors (41681848).

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

36087872 is a wasteful number, since it uses less digits than its factorization.

36087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 36087872 is about 6007.3182036579. The cubic root of 36087872 is about 330.4611611845.

The spelling of 36087872 in words is "thirty-six million, eighty-seven thousand, eight hundred seventy-two".