36540672 has 108 divisors (see below), whose sum is σ = 113245776. Its totient is φ = 10429440.

The previous prime is 36540671. The next prime is 36540683. The reversal of 36540672 is 27604563.

It is a super-3 number, since 3×36540672³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36540671) 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, 37147 + ... + 38117.

It is an arithmetic number, because the mean of its divisors is an integer number (1048572).

Almost surely, 2^36540672 is an apocalyptic number.

36540672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56622888).

36540672 is an abundant number, since it is smaller than the sum of its proper divisors (76705104).

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

36540672 is an equidigital number, since it uses as much as digits as its factorization.

36540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 36540672 is about 6044.8880882941. Note that the first 3 decimals coincide. The cubic root of 36540672 is about 331.8375360337.

The spelling of 36540672 in words is "thirty-six million, five hundred forty thousand, six hundred seventy-two".