724525890 has 192 divisors, whose sum is σ = 2062568448. Its totient is φ = 161459200.

The previous prime is 724525859. The next prime is 724525891. The reversal of 724525890 is 98525427.

724525890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (724525891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6771217 + ... + 6771323.

It is an arithmetic number, because the mean of its divisors is an integer number (10742544).

Almost surely, 2^724525890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 724525890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031284224).

724525890 is an abundant number, since it is smaller than the sum of its proper divisors (1338042558).

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

724525890 is a wasteful number, since it uses less digits than its factorization.

724525890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 724525890 is about 26917.0185941906. The cubic root of 724525890 is about 898.1550228975.

The spelling of 724525890 in words is "seven hundred twenty-four million, five hundred twenty-five thousand, eight hundred ninety".