72674100 has 54 divisors (see below), whose sum is σ = 227795750. Its totient is φ = 19379520.

The previous prime is 72674081. The next prime is 72674101. The reversal of 72674100 is 147627.

It can be written as a sum of positive squares in 3 ways, for example, as 17943696 + 54730404 = 4236^2 + 7398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72674101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 39475 + ... + 41274.

Almost surely, 2^72674100 is an apocalyptic number.

It is an amenable number.

72674100 is an abundant number, since it is smaller than the sum of its proper divisors (155121650).

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

72674100 is a wasteful number, since it uses less digits than its factorization.

72674100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80769 (or 80759 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72674100 is about 8524.9105567155. The cubic root of 72674100 is about 417.3110527040.

The spelling of 72674100 in words is "seventy-two million, six hundred seventy-four thousand, one hundred".