72852768 has 72 divisors (see below), whose sum is σ = 208864656. Its totient is φ = 24086400.

The previous prime is 72852761. The next prime is 72852781. The reversal of 72852768 is 86725827.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (72852761) 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 11 ways as a sum of consecutive naturals, for example, 36763 + ... + 38693.

It is an arithmetic number, because the mean of its divisors is an integer number (2900898).

Almost surely, 2^72852768 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 72852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104432328).

72852768 is an abundant number, since it is smaller than the sum of its proper divisors (136011888).

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

72852768 is a wasteful number, since it uses less digits than its factorization.

72852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2067 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 72852768 is about 8535.3832954355. The cubic root of 72852768 is about 417.6527567998.

The spelling of 72852768 in words is "seventy-two million, eight hundred fifty-two thousand, seven hundred sixty-eight".