36727456 has 48 divisors (see below), whose sum is σ = 78775200. Its totient is φ = 16789248.

The previous prime is 36727447. The next prime is 36727459. The reversal of 36727456 is 65472763.

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 (36727459) 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, 16591 + ... + 18673.

It is an arithmetic number, because the mean of its divisors is an integer number (1641150).

Almost surely, 2^36727456 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 36727456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39387600).

36727456 is an abundant number, since it is smaller than the sum of its proper divisors (42047744).

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

36727456 is a wasteful number, since it uses less digits than its factorization.

36727456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2133 counting only the distinct ones).

The product of its digits is 211680, while the sum is 40.

The square root of 36727456 is about 6060.3181434641. The cubic root of 36727456 is about 332.4019904470.

The spelling of 36727456 in words is "thirty-six million, seven hundred twenty-seven thousand, four hundred fifty-six".