36749728 has 36 divisors (see below), whose sum is σ = 75223890. Its totient is φ = 17652096.

The previous prime is 36749719. The next prime is 36749761. The reversal of 36749728 is 82794763.

It can be written as a sum of positive squares in only one way, i.e., 31047184 + 5702544 = 5572^2 + 2388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184573 + ... + 184771.

Almost surely, 2^36749728 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 36749728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37611945).

36749728 is an abundant number, since it is smaller than the sum of its proper divisors (38474162).

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

36749728 is an equidigital number, since it uses as much as digits as its factorization.

36749728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 230 counting only the distinct ones).

The product of its digits is 508032, while the sum is 46.

The square root of 36749728 is about 6062.1553922677. The cubic root of 36749728 is about 332.4691678121.

It can be divided in two parts, 367497 and 28, that multiplied together give a triangular number (10289916 = T₄₅₃₆).

The spelling of 36749728 in words is "thirty-six million, seven hundred forty-nine thousand, seven hundred twenty-eight".