36727872 has 56 divisors (see below), whose sum is σ = 101413056. Its totient is φ = 11708928.

The previous prime is 36727853. The next prime is 36727879. The reversal of 36727872 is 27872763.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (36727879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258 + ... + 8574.

Almost surely, 2^36727872 is an apocalyptic number.

36727872 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 36727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50706528).

36727872 is an abundant number, since it is smaller than the sum of its proper divisors (64685184).

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

36727872 is a wasteful number, since it uses less digits than its factorization.

36727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8345 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 36727872 is about 6060.3524649974. The cubic root of 36727872 is about 332.4032454455.

The spelling of 36727872 in words is "thirty-six million, seven hundred twenty-seven thousand, eight hundred seventy-two".