36210672 has 80 divisors (see below), whose sum is σ = 105028000. Its totient is φ = 11943936.

The previous prime is 36210661. The next prime is 36210683. The reversal of 36210672 is 27601263.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36210661) and next prime (36210683).

It is a super-2 number, since 2×36210672² = 2622425533383168, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 46704 + ... + 47472.

It is an arithmetic number, because the mean of its divisors is an integer number (1312850).

Almost surely, 2^36210672 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 36210672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52514000).

36210672 is an abundant number, since it is smaller than the sum of its proper divisors (68817328).

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

36210672 is a wasteful number, since it uses less digits than its factorization.

36210672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36210672 is about 6017.5303904509. The cubic root of 36210672 is about 330.8355684839.

The spelling of 36210672 in words is "thirty-six million, two hundred ten thousand, six hundred seventy-two".