36720000 has 320 divisors, whose sum is σ = 143391600. Its totient is φ = 9216000.

The previous prime is 36719999. The next prime is 36720001. The reversal of 36720000 is 2763.

It is an interprime number because it is at equal distance from previous prime (36719999) and next prime (36720001).

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36720001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2159992 + ... + 2160008.

Almost surely, 2^36720000 is an apocalyptic number.

36720000 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 36720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71695800).

36720000 is an abundant number, since it is smaller than the sum of its proper divisors (106671600).

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

36720000 is an equidigital number, since it uses as much as digits as its factorization.

36720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 36720000 is about 6059.7029630172. The cubic root of 36720000 is about 332.3794954053.

Adding to 36720000 its reverse (2763), we get a palindrome (36722763).

The spelling of 36720000 in words is "thirty-six million, seven hundred twenty thousand".