72896760 has 160 divisors (see below), whose sum is σ = 248292000. Its totient is φ = 19180800.

The previous prime is 72896753. The next prime is 72896797. The reversal of 72896760 is 6769827.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

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 39 ways as a sum of consecutive naturals, for example, 482685 + ... + 482835.

It is an arithmetic number, because the mean of its divisors is an integer number (1551825).

Almost surely, 2^72896760 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 72896760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146000).

72896760 is an abundant number, since it is smaller than the sum of its proper divisors (175395240).

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

72896760 is a wasteful number, since it uses less digits than its factorization.

72896760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 72896760 is about 8537.9599436868. The cubic root of 72896760 is about 417.7368061484.

The spelling of 72896760 in words is "seventy-two million, eight hundred ninety-six thousand, seven hundred sixty".