72078720 has 256 divisors, whose sum is σ = 272609280. Its totient is φ = 15851520.

The previous prime is 72078709. The next prime is 72078749. The reversal of 72078720 is 2787027.

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 31 ways as a sum of consecutive naturals, for example, 416554 + ... + 416726.

It is an arithmetic number, because the mean of its divisors is an integer number (1064880).

Almost surely, 2^72078720 is an apocalyptic number.

72078720 is a gapful number since it is divisible by the number (70) 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 72078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136304640).

72078720 is an abundant number, since it is smaller than the sum of its proper divisors (200530560).

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

72078720 is a wasteful number, since it uses less digits than its factorization.

72078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 72078720 is about 8489.9187275262. The cubic root of 72078720 is about 416.1683243873.

The spelling of 72078720 in words is "seventy-two million, seventy-eight thousand, seven hundred twenty".