36632720 has 40 divisors (see below), whose sum is σ = 85972920. Its totient is φ = 14515200.

The previous prime is 36632707. The next prime is 36632737. The reversal of 36632720 is 2723663.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 35808256 = 908^2 + 5984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6620 + ... + 10820.

It is an arithmetic number, because the mean of its divisors is an integer number (2149323).

Almost surely, 2^36632720 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 36632720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42986460).

36632720 is an abundant number, since it is smaller than the sum of its proper divisors (49340200).

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

36632720 is a wasteful number, since it uses less digits than its factorization.

36632720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 36632720 is about 6052.4970053689. The cubic root of 36632720 is about 332.1159415063.

The spelling of 36632720 in words is "thirty-six million, six hundred thirty-two thousand, seven hundred twenty".