36073728 has 144 divisors (see below), whose sum is σ = 113319360. Its totient is φ = 11280384.

The previous prime is 36073717. The next prime is 36073783. The reversal of 36073728 is 82737063.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 36073692 and 36073701.

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, 117351 + ... + 117657.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 2^36073728 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 36073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56659680).

36073728 is an abundant number, since it is smaller than the sum of its proper divisors (77245632).

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

36073728 is a wasteful number, since it uses less digits than its factorization.

36073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 36073728 is about 6006.1408574891. The cubic root of 36073728 is about 330.4179827502.

It can be divided in two parts, 360 and 73728, that added together give a cube (74088 = 42³).

The spelling of 36073728 in words is "thirty-six million, seventy-three thousand, seven hundred twenty-eight".