72761600 has 54 divisors (see below), whose sum is σ = 180112170. Its totient is φ = 29102080.

The previous prime is 72761599. The next prime is 72761629. The reversal of 72761600 is 616727.

It can be written as a sum of positive squares in 3 ways, for example, as 5914624 + 66846976 = 2432^2 + 8176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 716 + ... + 12084.

Almost surely, 2^72761600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90056085).

72761600 is an abundant number, since it is smaller than the sum of its proper divisors (107350570).

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

72761600 is a wasteful number, since it uses less digits than its factorization.

72761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11395 (or 11376 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 72761600 is about 8530.0410315543. The cubic root of 72761600 is about 417.4784671027.

The spelling of 72761600 in words is "seventy-two million, seven hundred sixty-one thousand, six hundred".