73628180 has 24 divisors (see below), whose sum is σ = 155014440. Its totient is φ = 29376000.

The previous prime is 73628171. The next prime is 73628189. The reversal of 73628180 is 8182637.

It is an interprime number because it is at equal distance from previous prime (73628171) and next prime (73628189).

It can be written as a sum of positive squares in 4 ways, for example, as 10679824 + 62948356 = 3268^2 + 7934^2 .

It is a super-2 number, since 2×73628180² = 10842217780224800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73628180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73628189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3680 + ... + 12680.

It is an arithmetic number, because the mean of its divisors is an integer number (6458935).

Almost surely, 2^73628180 is an apocalyptic number.

It is an amenable number.

73628180 is an abundant number, since it is smaller than the sum of its proper divisors (81386260).

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

73628180 is a wasteful number, since it uses less digits than its factorization.

73628180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 73628180 is about 8580.6864527263. The cubic root of 73628180 is about 419.1292997548.

The spelling of 73628180 in words is "seventy-three million, six hundred twenty-eight thousand, one hundred eighty".