72847400 has 48 divisors (see below), whose sum is σ = 170346240. Its totient is φ = 28971200.

The previous prime is 72847373. The next prime is 72847403. The reversal of 72847400 is 474827.

It is not an unprimeable number, because it can be changed into a prime (72847403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37247 + ... + 39153.

It is an arithmetic number, because the mean of its divisors is an integer number (3548880).

Almost surely, 2^72847400 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 72847400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85173120).

72847400 is an abundant number, since it is smaller than the sum of its proper divisors (97498840).

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

72847400 is a wasteful number, since it uses less digits than its factorization.

72847400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 72847400 is about 8535.0688339345. The cubic root of 72847400 is about 417.6424985985.

The spelling of 72847400 in words is "seventy-two million, eight hundred forty-seven thousand, four hundred".