36261072 has 60 divisors (see below), whose sum is σ = 104767104. Its totient is φ = 11695680.

The previous prime is 36261067. The next prime is 36261077. The reversal of 36261072 is 27016263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36261067) and next prime (36261077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36261077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403 + ... + 8525.

Almost surely, 2^36261072 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 36261072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52383552).

36261072 is an abundant number, since it is smaller than the sum of its proper divisors (68506032).

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

36261072 is a wasteful number, since it uses less digits than its factorization.

36261072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36261072 is about 6021.7166987496. The cubic root of 36261072 is about 330.9889890247.

The spelling of 36261072 in words is "thirty-six million, two hundred sixty-one thousand, seventy-two".