72814600 has 24 divisors (see below), whose sum is σ = 169294410. Its totient is φ = 29125760.

The previous prime is 72814591. The next prime is 72814603. The reversal of 72814600 is 641827.

It can be written as a sum of positive squares in 3 ways, for example, as 53787556 + 19027044 = 7334^2 + 4362^2 .

It is not an unprimeable number, because it can be changed into a prime (72814603) 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, 181837 + ... + 182236.

Almost surely, 2^72814600 is an apocalyptic number.

It is an amenable number.

72814600 is an abundant number, since it is smaller than the sum of its proper divisors (96479810).

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

72814600 is a wasteful number, since it uses less digits than its factorization.

72814600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364089 (or 364080 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 72814600 is about 8533.1471333852. The cubic root of 72814600 is about 417.5798071347.

It can be divided in two parts, 7281 and 4600, that added together give a square (11881 = 109²).

The spelling of 72814600 in words is "seventy-two million, eight hundred fourteen thousand, six hundred".