36723840 has 128 divisors (see below), whose sum is σ = 121029120. Its totient is φ = 9461760.

The previous prime is 36723811. The next prime is 36723851. The reversal of 36723840 is 4832763.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59212 + ... + 59828.

It is an arithmetic number, because the mean of its divisors is an integer number (945540).

Almost surely, 2^36723840 is an apocalyptic number.

36723840 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 36723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60514560).

36723840 is an abundant number, since it is smaller than the sum of its proper divisors (84305280).

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

36723840 is a wasteful number, since it uses less digits than its factorization.

36723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 36723840 is about 6060.0198019478. The cubic root of 36723840 is about 332.3910812148.

The spelling of 36723840 in words is "thirty-six million, seven hundred twenty-three thousand, eight hundred forty".