73628960 has 24 divisors (see below), whose sum is σ = 173948796. Its totient is φ = 29451520.

The previous prime is 73628923. The next prime is 73628963. The reversal of 73628960 is 6982637.

It can be written as a sum of positive squares in 2 ways, for example, as 72522256 + 1106704 = 8516^2 + 1052^2 .

It is not an unprimeable number, because it can be changed into a prime (73628963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229931 + ... + 230250.

Almost surely, 2^73628960 is an apocalyptic number.

It is an amenable number.

73628960 is an abundant number, since it is smaller than the sum of its proper divisors (100319836).

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

73628960 is a wasteful number, since it uses less digits than its factorization.

73628960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460196 (or 460188 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 73628960 is about 8580.7319035150. The cubic root of 73628960 is about 419.1307798027.

The spelling of 73628960 in words is "seventy-three million, six hundred twenty-eight thousand, nine hundred sixty".