241072832 has 224 divisors, whose sum is σ = 663634944. Its totient is φ = 83865600.

The previous prime is 241072829. The next prime is 241072841. The reversal of 241072832 is 238270142.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×241072832² = 116232220657000448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241072795 and 241072804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3395357 + ... + 3395427.

It is an arithmetic number, because the mean of its divisors is an integer number (2962656).

Almost surely, 2^241072832 is an apocalyptic number.

241072832 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 241072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331817472).

241072832 is an abundant number, since it is smaller than the sum of its proper divisors (422562112).

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

241072832 is a wasteful number, since it uses less digits than its factorization.

241072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 241072832 is about 15526.5202798309. The cubic root of 241072832 is about 622.3711077580.

The spelling of 241072832 in words is "two hundred forty-one million, seventy-two thousand, eight hundred thirty-two".