72888100 has 18 divisors (see below), whose sum is σ = 158167394. Its totient is φ = 29155200.

The previous prime is 72888073. The next prime is 72888121. The reversal of 72888100 is 188827.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 72556324 = 576^2 + 8518^2 .

It is a super-2 number, since 2×72888100² = 10625350243220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364341 + ... + 364540.

Almost surely, 2^72888100 is an apocalyptic number.

It is an amenable number.

72888100 is an abundant number, since it is smaller than the sum of its proper divisors (85279294).

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

72888100 is a wasteful number, since it uses less digits than its factorization.

72888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728895 (or 728888 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 72888100 is about 8537.4527817142. The cubic root of 72888100 is about 417.7202633738.

The spelling of 72888100 in words is "seventy-two million, eight hundred eighty-eight thousand, one hundred".