36078720 has 256 divisors, whose sum is σ = 129254400. Its totient is φ = 8515584.

The previous prime is 36078671. The next prime is 36078727. The reversal of 36078720 is 2787063.

It is not an unprimeable number, because it can be changed into a prime (36078727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839019 + ... + 839061.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^36078720 is an apocalyptic number.

36078720 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 36078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

36078720 is an abundant number, since it is smaller than the sum of its proper divisors (93175680).

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

36078720 is a wasteful number, since it uses less digits than its factorization.

36078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 36078720 is about 6006.5564177822. The cubic root of 36078720 is about 330.4332234862.

The spelling of 36078720 in words is "thirty-six million, seventy-eight thousand, seven hundred twenty".