232161072 has 160 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 64220160.

The previous prime is 232161053. The next prime is 232161089. The reversal of 232161072 is 270161232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

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 31 ways as a sum of consecutive naturals, for example, 1022623 + ... + 1022849.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^232161072 is an apocalyptic number.

232161072 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 232161072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

232161072 is an abundant number, since it is smaller than the sum of its proper divisors (480293328).

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

232161072 is a wasteful number, since it uses less digits than its factorization.

232161072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 232161072 is about 15236.8327417479. The cubic root of 232161072 is about 614.6055346015.

The spelling of 232161072 in words is "two hundred thirty-two million, one hundred sixty-one thousand, seventy-two".