72760996 has 48 divisors (see below), whose sum is σ = 159449472. Its totient is φ = 28224000.

The previous prime is 72760993. The next prime is 72761023. The reversal of 72760996 is 69906727.

It is not an unprimeable number, because it can be changed into a prime (72760993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103446 + ... + 104146.

It is an arithmetic number, because the mean of its divisors is an integer number (3321864).

Almost surely, 2^72760996 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 72760996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79724736).

72760996 is an abundant number, since it is smaller than the sum of its proper divisors (86688476).

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

72760996 is a wasteful number, since it uses less digits than its factorization.

72760996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 72760996 is about 8530.0056271963. The cubic root of 72760996 is about 417.4773119252.

The spelling of 72760996 in words is "seventy-two million, seven hundred sixty thousand, nine hundred ninety-six".