72838100 has 18 divisors (see below), whose sum is σ = 158058894. Its totient is φ = 29135200.

The previous prime is 72838097. The next prime is 72838121. The reversal of 72838100 is 183827.

It can be written as a sum of positive squares in 3 ways, for example, as 315844 + 72522256 = 562^2 + 8516^2 .

It is a super-2 number, since 2×72838100² = 10610777623220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364091 + ... + 364290.

Almost surely, 2^72838100 is an apocalyptic number.

It is an amenable number.

72838100 is an abundant number, since it is smaller than the sum of its proper divisors (85220794).

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

72838100 is a wasteful number, since it uses less digits than its factorization.

72838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728395 (or 728388 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 72838100 is about 8534.5240054733. The cubic root of 72838100 is about 417.6247251867.

The spelling of 72838100 in words is "seventy-two million, eight hundred thirty-eight thousand, one hundred".