36702720 has 240 divisors, whose sum is σ = 134053920. Its totient is φ = 9621504.

The previous prime is 36702713. The next prime is 36702727. The reversal of 36702720 is 2720763.

It is an interprime number because it is at equal distance from previous prime (36702713) and next prime (36702727).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36702727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622051 + ... + 622109.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^36702720 is an apocalyptic number.

36702720 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 36702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

36702720 is an abundant number, since it is smaller than the sum of its proper divisors (97351200).

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

36702720 is an frugal number, since it uses more digits than its factorization.

36702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 36702720 is about 6058.2769827732. The cubic root of 36702720 is about 332.3273492646.

The spelling of 36702720 in words is "thirty-six million, seven hundred two thousand, seven hundred twenty".