181457472 has 224 divisors, whose sum is σ = 583752960. Its totient is φ = 48660480.

The previous prime is 181457461. The next prime is 181457483. The reversal of 181457472 is 274754181.

It is an interprime number because it is at equal distance from previous prime (181457461) and next prime (181457483).

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

It is a super-3 number, since 3×181457472³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 181457472.

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, 2038804 + ... + 2038892.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^181457472 is an apocalyptic number.

181457472 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 181457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291876480).

181457472 is an abundant number, since it is smaller than the sum of its proper divisors (402295488).

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

181457472 is a wasteful number, since it uses less digits than its factorization.

181457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 181457472 is about 13470.6151307206. The cubic root of 181457472 is about 566.1414489130.

The spelling of 181457472 in words is "one hundred eighty-one million, four hundred fifty-seven thousand, four hundred seventy-two".