72271600 has 30 divisors (see below), whose sum is σ = 173633480. Its totient is φ = 28908480.

The previous prime is 72271559. The next prime is 72271613. The reversal of 72271600 is 617227.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89940 + ... + 90739.

Almost surely, 2^72271600 is an apocalyptic number.

It is an amenable number.

72271600 is an abundant number, since it is smaller than the sum of its proper divisors (101361880).

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

72271600 is a wasteful number, since it uses less digits than its factorization.

72271600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180697 (or 180686 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 72271600 is about 8501.2704932851. The cubic root of 72271600 is about 416.5392107938.

Adding to 72271600 its reverse (617227), we get a palindrome (72888827).

The spelling of 72271600 in words is "seventy-two million, two hundred seventy-one thousand, six hundred".