181020672 has 288 divisors, whose sum is σ = 633709440. Its totient is φ = 48660480.

The previous prime is 181020659. The next prime is 181020713. The reversal of 181020672 is 276020181.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967522 + ... + 2967582.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 2^181020672 is an apocalyptic number.

181020672 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 181020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316854720).

181020672 is an abundant number, since it is smaller than the sum of its proper divisors (452688768).

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

181020672 is a wasteful number, since it uses less digits than its factorization.

181020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 181020672 is about 13454.3922939685. The cubic root of 181020672 is about 565.6868166294.

The spelling of 181020672 in words is "one hundred eighty-one million, twenty thousand, six hundred seventy-two".