180725040 has 160 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 46621440.

The previous prime is 180725003. The next prime is 180725047. The reversal of 180725040 is 40527081.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 180724995 and 180725013.

It is not an unprimeable number, because it can be changed into a prime (180725047) 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, 65611 + ... + 68309.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^180725040 is an apocalyptic number.

180725040 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 180725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

180725040 is an abundant number, since it is smaller than the sum of its proper divisors (462090960).

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

180725040 is a wasteful number, since it uses less digits than its factorization.

180725040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180725040 is about 13443.4013553118. The cubic root of 180725040 is about 565.3787003514.

The spelling of 180725040 in words is "one hundred eighty million, seven hundred twenty-five thousand, forty".