36437772 has 72 divisors (see below), whose sum is σ = 102144000. Its totient is φ = 10069920.

The previous prime is 36437771. The next prime is 36437789. The reversal of 36437772 is 27773463.

It is a super-2 number, since 2×36437772² = 2655422456647968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36437772.

It is not an unprimeable number, because it can be changed into a prime (36437771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17229 + ... + 19227.

Almost surely, 2^36437772 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 36437772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072000).

36437772 is an abundant number, since it is smaller than the sum of its proper divisors (65706228).

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

36437772 is a wasteful number, since it uses less digits than its factorization.

36437772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2042 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The square root of 36437772 is about 6036.3707639607. The cubic root of 36437772 is about 331.5257539101.

The spelling of 36437772 in words is "thirty-six million, four hundred thirty-seven thousand, seven hundred seventy-two".