36734720 has 72 divisors (see below), whose sum is σ = 96027120. Its totient is φ = 13352960.

The previous prime is 36734713. The next prime is 36734723. The reversal of 36734720 is 2743763.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36734723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12776 + ... + 15384.

It is an arithmetic number, because the mean of its divisors is an integer number (1333710).

Almost surely, 2^36734720 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 36734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48013560).

36734720 is an abundant number, since it is smaller than the sum of its proper divisors (59292400).

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

36734720 is a wasteful number, since it uses less digits than its factorization.

36734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 36734720 is about 6060.9174223050. The cubic root of 36734720 is about 332.4239032897.

The spelling of 36734720 in words is "thirty-six million, seven hundred thirty-four thousand, seven hundred twenty".