36708672 has 224 divisors, whose sum is σ = 131088384. Its totient is φ = 8755200.

The previous prime is 36708643. The next prime is 36708691. The reversal of 36708672 is 27680763.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 36708672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192097 + ... + 192287.

It is an arithmetic number, because the mean of its divisors is an integer number (585216).

Almost surely, 2^36708672 is an apocalyptic number.

36708672 is a gapful number since it is divisible by the number (32) 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 36708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65544192).

36708672 is an abundant number, since it is smaller than the sum of its proper divisors (94379712).

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

36708672 is a wasteful number, since it uses less digits than its factorization.

36708672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 36708672 is about 6058.7681916376. The cubic root of 36708672 is about 332.3453125606.

The spelling of 36708672 in words is "thirty-six million, seven hundred eight thousand, six hundred seventy-two".