72752768 has 64 divisors (see below), whose sum is σ = 159585120. Its totient is φ = 32762880.

The previous prime is 72752761. The next prime is 72752773. The reversal of 72752768 is 86725727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (72752761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229346 + ... + 229662.

Almost surely, 2^72752768 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 72752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79792560).

72752768 is an abundant number, since it is smaller than the sum of its proper divisors (86832352).

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

72752768 is a wasteful number, since it uses less digits than its factorization.

72752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 493 counting only the distinct ones).

The product of its digits is 329280, while the sum is 44.

The square root of 72752768 is about 8529.5233161062. The cubic root of 72752768 is about 417.4615748637.

The spelling of 72752768 in words is "seventy-two million, seven hundred fifty-two thousand, seven hundred sixty-eight".