727912224 has 192 divisors, whose sum is σ = 2304489600. Its totient is φ = 222206976.

The previous prime is 727912223. The next prime is 727912277. The reversal of 727912224 is 422219727.

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

It is not an unprimeable number, because it can be changed into a prime (727912223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571987 + ... + 2572269.

It is an arithmetic number, because the mean of its divisors is an integer number (12002550).

Almost surely, 2^727912224 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 727912224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152244800).

727912224 is an abundant number, since it is smaller than the sum of its proper divisors (1576577376).

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

727912224 is a wasteful number, since it uses less digits than its factorization.

727912224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 727912224 is about 26979.8484799303. The cubic root of 727912224 is about 899.5521327202.

It can be divided in two parts, 7279 and 12224, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 727912224 in words is "seven hundred twenty-seven million, nine hundred twelve thousand, two hundred twenty-four".