36017072 has 80 divisors (see below), whose sum is σ = 88952640. Its totient is φ = 13741056.

The previous prime is 36017053. The next prime is 36017083. The reversal of 36017072 is 27071063.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41798 + ... + 42650.

It is an arithmetic number, because the mean of its divisors is an integer number (1111908).

Almost surely, 2^36017072 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 36017072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44476320).

36017072 is an abundant number, since it is smaller than the sum of its proper divisors (52935568).

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

36017072 is a wasteful number, since it uses less digits than its factorization.

36017072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 36017072 is about 6001.4224980416. The cubic root of 36017072 is about 330.2449115502.

The spelling of 36017072 in words is "thirty-six million, seventeen thousand, seventy-two".