724428100 has 72 divisors (see below), whose sum is σ = 1724139648. Its totient is φ = 262012800.

The previous prime is 724428077. The next prime is 724428109. The reversal of 724428100 is 1824427.

724428100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×724428100² = 1049592144139220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724428109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215029 + ... + 218371.

It is an arithmetic number, because the mean of its divisors is an integer number (23946384).

Almost surely, 2^724428100 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 724428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862069824).

724428100 is an abundant number, since it is smaller than the sum of its proper divisors (999711548).

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

724428100 is a wasteful number, since it uses less digits than its factorization.

724428100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 724428100 is about 26915.2020241350. The cubic root of 724428100 is about 898.1146127788.

It can be divided in two parts, 7244 and 28100, that added together give a square (35344 = 188²).

The spelling of 724428100 in words is "seven hundred twenty-four million, four hundred twenty-eight thousand, one hundred".