259542272 has 144 divisors (see below), whose sum is σ = 603977472. Its totient is φ = 110223360.

The previous prime is 259542263. The next prime is 259542277. The reversal of 259542272 is 272245952.

Its product of digits (100800) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259542277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4896998 + ... + 4897050.

It is an arithmetic number, because the mean of its divisors is an integer number (4194288).

Almost surely, 2^259542272 is an apocalyptic number.

259542272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301988736).

259542272 is an abundant number, since it is smaller than the sum of its proper divisors (344435200).

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

259542272 is a wasteful number, since it uses less digits than its factorization.

259542272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 259542272 is about 16110.3157014380. The cubic root of 259542272 is about 637.8756648855.

The spelling of 259542272 in words is "two hundred fifty-nine million, five hundred forty-two thousand, two hundred seventy-two".