36735750972 has 72 divisors (see below), whose sum is σ = 96963834240. Its totient is φ = 11704793760.

The previous prime is 36735750971. The next prime is 36735751049. The reversal of 36735750972 is 27905753763.

36735750972 is a `hidden beast` number, since 3 + 67 + 3 + 5 + 7 + 509 + 72 = 666.

36735750972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36735750971) 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, 1253179 + ... + 1282157.

It is an arithmetic number, because the mean of its divisors is an integer number (1346719920).

Almost surely, 2^36735750972 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 36735750972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48481917120).

36735750972 is an abundant number, since it is smaller than the sum of its proper divisors (60228083268).

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

36735750972 is a wasteful number, since it uses less digits than its factorization.

36735750972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30543 (or 30538 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 54.

The spelling of 36735750972 in words is "thirty-six billion, seven hundred thirty-five million, seven hundred fifty thousand, nine hundred seventy-two".