36721728 has 112 divisors (see below), whose sum is σ = 109728000. Its totient is φ = 12040704.

The previous prime is 36721693. The next prime is 36721757. The reversal of 36721728 is 82712763.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36721692 and 36721701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136378 + ... + 136646.

Almost surely, 2^36721728 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 36721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864000).

36721728 is an abundant number, since it is smaller than the sum of its proper divisors (73006272).

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

36721728 is a wasteful number, since it uses less digits than its factorization.

36721728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 36721728 is about 6059.8455425860. The cubic root of 36721728 is about 332.3847091195.

The spelling of 36721728 in words is "thirty-six million, seven hundred twenty-one thousand, seven hundred twenty-eight".