182472960 has 288 divisors, whose sum is σ = 638709120. Its totient is φ = 44236800.

The previous prime is 182472949. The next prime is 182472971. The reversal of 182472960 is 69274281.

It is an interprime number because it is at equal distance from previous prime (182472949) and next prime (182472971).

It is a super-2 number, since 2×182472960² = 66592762262323200, which contains 22 as substring.

It is a congruent number.

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, 2991330 + ... + 2991390.

It is an arithmetic number, because the mean of its divisors is an integer number (2217740).

Almost surely, 2^182472960 is an apocalyptic number.

182472960 is a gapful number since it is divisible by the number (10) 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 182472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319354560).

182472960 is an abundant number, since it is smaller than the sum of its proper divisors (456236160).

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

182472960 is a wasteful number, since it uses less digits than its factorization.

182472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 182472960 is about 13508.2552537328. The cubic root of 182472960 is about 567.1955815239.

The spelling of 182472960 in words is "one hundred eighty-two million, four hundred seventy-two thousand, nine hundred sixty".