36722100 has 72 divisors (see below), whose sum is σ = 107319520. Its totient is φ = 9694080.

The previous prime is 36722089. The next prime is 36722141. The reversal of 36722100 is 122763.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32139 + ... + 33261.

Almost surely, 2^36722100 is an apocalyptic number.

36722100 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 36722100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53659760).

36722100 is an abundant number, since it is smaller than the sum of its proper divisors (70597420).

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

36722100 is a wasteful number, since it uses less digits than its factorization.

36722100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 36722100 is about 6059.8762363599. The cubic root of 36722100 is about 332.3858314949.

Adding to 36722100 its reverse (122763), we get a palindrome (36844863).

The spelling of 36722100 in words is "thirty-six million, seven hundred twenty-two thousand, one hundred".