71268100 has 18 divisors (see below), whose sum is σ = 154651994. Its totient is φ = 28507200.

The previous prime is 71268091. The next prime is 71268103. The reversal of 71268100 is 186217.

It can be written as a sum of positive squares in 3 ways, for example, as 6240004 + 65028096 = 2498^2 + 8064^2 .

It is a super-2 number, since 2×71268100² = 10158284155220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (71268103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 356241 + ... + 356440.

Almost surely, 2^71268100 is an apocalyptic number.

It is an amenable number.

71268100 is an abundant number, since it is smaller than the sum of its proper divisors (83383894).

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

71268100 is a wasteful number, since it uses less digits than its factorization.

71268100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712695 (or 712688 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 71268100 is about 8442.0435914534. The cubic root of 71268100 is about 414.6023189934.

The spelling of 71268100 in words is "seventy-one million, two hundred sixty-eight thousand, one hundred".