724417225 has 27 divisors (see below), whose sum is σ = 1046295477. Its totient is φ = 496097280.

The previous prime is 724417193. The next prime is 724417241. The reversal of 724417225 is 522714427.

The square root of 724417225 is 26915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 44876601 + 679540624 = 6699^2 + 26068^2 .

It is not a de Polignac number, because 724417225 - 2⁵ = 724417193 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 941641 + ... + 942409.

Almost surely, 2^724417225 is an apocalyptic number.

724417225 is the 26915-th square number.

724417225 is the 13458-th centered octagonal number.

It is an amenable number.

724417225 is a deficient number, since it is larger than the sum of its proper divisors (321878252).

724417225 is an frugal number, since it uses more digits than its factorization.

724417225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 781 counting only the distinct ones).

The product of its digits is 31360, while the sum is 34.

The cubic root of 724417225 is about 898.1101186382.

The spelling of 724417225 in words is "seven hundred twenty-four million, four hundred seventeen thousand, two hundred twenty-five".