73268100 has 54 divisors (see below), whose sum is σ = 229657610. Its totient is φ = 19537920.

The previous prime is 73268089. The next prime is 73268119. The reversal of 73268100 is 186237.

It can be written as a sum of positive squares in 3 ways, for example, as 2304324 + 70963776 = 1518^2 + 8424^2 .

It is a super-2 number, since 2×73268100² = 10736428955220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39805 + ... + 41604.

Almost surely, 2^73268100 is an apocalyptic number.

It is an amenable number.

73268100 is an abundant number, since it is smaller than the sum of its proper divisors (156389510).

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

73268100 is a wasteful number, since it uses less digits than its factorization.

73268100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81429 (or 81419 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73268100 is about 8559.6787322890. The cubic root of 73268100 is about 418.4449296549. Note that the first 3 decimals are identical.

The spelling of 73268100 in words is "seventy-three million, two hundred sixty-eight thousand, one hundred".