261333072 has 480 divisors, whose sum is σ = 1029100800. Its totient is φ = 60963840.

The previous prime is 261333043. The next prime is 261333073. The reversal of 261333072 is 270333162.

261333072 is a `hidden beast` number, since 261 + 3 + 330 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261333073) 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, 7063038 + ... + 7063074.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2^261333072 is an apocalyptic number.

261333072 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 261333072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514550400).

261333072 is an abundant number, since it is smaller than the sum of its proper divisors (767767728).

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

261333072 is a wasteful number, since it uses less digits than its factorization.

261333072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 261333072 is about 16165.7994544037. The cubic root of 261333072 is about 639.3393834415.

It can be divided in two parts, 261 and 333072, that added together give a palindrome (333333).

The spelling of 261333072 in words is "two hundred sixty-one million, three hundred thirty-three thousand, seventy-two".