36030672 has 60 divisors (see below), whose sum is σ = 102760164. Its totient is φ = 11781120.

The previous prime is 36030641. The next prime is 36030691. The reversal of 36030672 is 27603063.

It can be written as a sum of positive squares in 2 ways, for example, as 22810176 + 13220496 = 4776^2 + 3636^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5272 + ... + 9992.

Almost surely, 2^36030672 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 36030672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51380082).

36030672 is an abundant number, since it is smaller than the sum of its proper divisors (66729492).

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

36030672 is a wasteful number, since it uses less digits than its factorization.

36030672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 36030672 is about 6002.5554558038. Note that the first 3 decimals coincide. The cubic root of 36030672 is about 330.2864730039.

The spelling of 36030672 in words is "thirty-six million, thirty thousand, six hundred seventy-two".