72760000 has 140 divisors (see below), whose sum is σ = 192819528. Its totient is φ = 27136000.

The previous prime is 72759989. The next prime is 72760003. The reversal of 72760000 is 6727.

It is not an unprimeable number, because it can be changed into a prime (72760003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 679947 + ... + 680053.

Almost surely, 2^72760000 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 72760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96409764).

72760000 is an abundant number, since it is smaller than the sum of its proper divisors (120059528).

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

72760000 is a wasteful number, since it uses less digits than its factorization.

72760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 72760000 is about 8529.9472448544. The cubic root of 72760000 is about 417.4754070159.

Adding to 72760000 its reverse (6727), we get a palindrome (72766727).

The spelling of 72760000 in words is "seventy-two million, seven hundred sixty thousand".