36735372 has 36 divisors (see below), whose sum is σ = 95857216. Its totient is φ = 11849760.

The previous prime is 36735371. The next prime is 36735407. The reversal of 36735372 is 27353763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36735371) 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, 15343 + ... + 17574.

Almost surely, 2^36735372 is an apocalyptic number.

It is an amenable number.

36735372 is an abundant number, since it is smaller than the sum of its proper divisors (59121844).

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

36735372 is a wasteful number, since it uses less digits than its factorization.

36735372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32958 (or 32953 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 36735372 is about 6060.9712093030. The cubic root of 36735372 is about 332.4258699950.

It can be divided in two parts, 3673 and 5372, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 36735372 in words is "thirty-six million, seven hundred thirty-five thousand, three hundred seventy-two".