36072000 has 224 divisors, whose sum is σ = 133136640. Its totient is φ = 9561600.

The previous prime is 36071999. The next prime is 36072007. The reversal of 36072000 is 27063.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (36072007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215917 + ... + 216083.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^36072000 is an apocalyptic number.

36072000 is a gapful number since it is divisible by the number (30) 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 36072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

36072000 is an abundant number, since it is smaller than the sum of its proper divisors (97064640).

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

36072000 is a wasteful number, since it uses less digits than its factorization.

36072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 36072000 is about 6005.9970029963. The cubic root of 36072000 is about 330.4127067832.

Adding to 36072000 its reverse (27063), we get a palindrome (36099063).

The spelling of 36072000 in words is "thirty-six million, seventy-two thousand".