72034412800 has 216 divisors, whose sum is σ = 215755940736. Its totient is φ = 23244472320.

The previous prime is 72034412789. The next prime is 72034412833. The reversal of 72034412800 is 821443027.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714309 + ... + 808891.

It is an arithmetic number, because the mean of its divisors is an integer number (998870096).

Almost surely, 2^72034412800 is an apocalyptic number.

72034412800 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 72034412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107877970368).

72034412800 is an abundant number, since it is smaller than the sum of its proper divisors (143721527936).

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

72034412800 is a wasteful number, since it uses less digits than its factorization.

72034412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94633 (or 94614 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

Adding to 72034412800 its reverse (821443027), we get a palindrome (72855855827).

The spelling of 72034412800 in words is "seventy-two billion, thirty-four million, four hundred twelve thousand, eight hundred".