180355072 has 46 divisors (see below), whose sum is σ = 369098708. Its totient is φ = 88080384.

The previous prime is 180355069. The next prime is 180355079. The reversal of 180355072 is 270553081.

It is a super-2 number, since 2×180355072² = 65055903992250368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180355079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4194283 + ... + 4194325.

Almost surely, 2^180355072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184549354).

180355072 is an abundant number, since it is smaller than the sum of its proper divisors (188743636).

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

180355072 is an frugal number, since it uses more digits than its factorization.

180355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 180355072 is about 13429.6340977705. The cubic root of 180355072 is about 564.9926351926.

The spelling of 180355072 in words is "one hundred eighty million, three hundred fifty-five thousand, seventy-two".