181961472 has 288 divisors, whose sum is σ = 642829824. Its totient is φ = 44236800.

The previous prime is 181961471. The next prime is 181961477. The reversal of 181961472 is 274169181.

It is a self number, because there is not a number n which added to its sum of digits gives 181961472.

It is not an unprimeable number, because it can be changed into a prime (181961471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005222 + ... + 1005402.

It is an arithmetic number, because the mean of its divisors is an integer number (2232048).

Almost surely, 2^181961472 is an apocalyptic number.

181961472 is a gapful number since it is divisible by the number (12) 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 181961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321414912).

181961472 is an abundant number, since it is smaller than the sum of its proper divisors (460868352).

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

181961472 is a wasteful number, since it uses less digits than its factorization.

181961472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 221 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 181961472 is about 13489.3095449693. The cubic root of 181961472 is about 566.6651189500.

The spelling of 181961472 in words is "one hundred eighty-one million, nine hundred sixty-one thousand, four hundred seventy-two".