72667600 has 30 divisors (see below), whose sum is σ = 174584870. Its totient is φ = 29066880.

The previous prime is 72667583. The next prime is 72667619. The reversal of 72667600 is 676627.

It can be written as a sum of positive squares in 3 ways, for example, as 553536 + 72114064 = 744^2 + 8492^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90435 + ... + 91234.

Almost surely, 2^72667600 is an apocalyptic number.

It is an amenable number.

72667600 is an abundant number, since it is smaller than the sum of its proper divisors (101917270).

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

72667600 is a wasteful number, since it uses less digits than its factorization.

72667600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181687 (or 181676 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 72667600 is about 8524.5293125193. The cubic root of 72667600 is about 417.2986108450.

The spelling of 72667600 in words is "seventy-two million, six hundred sixty-seven thousand, six hundred".