36727440 has 80 divisors (see below), whose sum is σ = 114576000. Its totient is φ = 9732096.

The previous prime is 36727433. The next prime is 36727447. The reversal of 36727440 is 4472763.

It is an interprime number because it is at equal distance from previous prime (36727433) and next prime (36727447).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (36727447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47376 + ... + 48144.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 2^36727440 is an apocalyptic number.

36727440 is a gapful number since it is divisible by the number (30) 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 36727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57288000).

36727440 is an abundant number, since it is smaller than the sum of its proper divisors (77848560).

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

36727440 is a wasteful number, since it uses less digits than its factorization.

36727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 36727440 is about 6060.3168234012. The cubic root of 36727440 is about 332.4019421777.

The spelling of 36727440 in words is "thirty-six million, seven hundred twenty-seven thousand, four hundred forty".