72078336 has 220 divisors, whose sum is σ = 237779520. Its totient is φ = 21565440.

The previous prime is 72078329. The next prime is 72078361. The reversal of 72078336 is 63387027.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 72078336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912345 + ... + 912423.

It is an arithmetic number, because the mean of its divisors is an integer number (1080816).

Almost surely, 2^72078336 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 72078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118889760).

72078336 is an abundant number, since it is smaller than the sum of its proper divisors (165701184).

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

72078336 is a wasteful number, since it uses less digits than its factorization.

72078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72078336 is about 8489.8961124386. The cubic root of 72078336 is about 416.1675853392.

The spelling of 72078336 in words is "seventy-two million, seventy-eight thousand, three hundred thirty-six".