761568072 has 128 divisors (see below), whose sum is σ = 2079129600. Its totient is φ = 231840000.

The previous prime is 761568007. The next prime is 761568097. The reversal of 761568072 is 270865167.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013697 + ... + 1014447.

It is an arithmetic number, because the mean of its divisors is an integer number (16243200).

Almost surely, 2^761568072 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 761568072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039564800).

761568072 is an abundant number, since it is smaller than the sum of its proper divisors (1317561528).

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

761568072 is a wasteful number, since it uses less digits than its factorization.

761568072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 761568072 is about 27596.5228244429. The cubic root of 761568072 is about 913.2077239778.

The spelling of 761568072 in words is "seven hundred sixty-one million, five hundred sixty-eight thousand, seventy-two".