752016761721 has 9 divisors (see below), whose sum is σ = 1086250191429. Its totient is φ = 501342773436.

The previous prime is 752016761719. The next prime is 752016761801. The reversal of 752016761721 is 127167610257.

The square root of 752016761721 is 867189.

It is a perfect power (a square), and thus also a powerful number.

752016761721 is a `hidden beast` number, since 7 + 5 + 2 + 0 + 1 + 6 + 7 + 617 + 21 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 752016761721 - 2¹ = 752016761719 is a prime.

It is not an unprimeable number, because it can be changed into a prime (752016761711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2457036 + ... + 2746098.

Almost surely, 2^752016761721 is an apocalyptic number.

752016761721 is the 867189-th square number.

752016761721 is the 433595-th centered octagonal number.

It is an amenable number.

752016761721 is a deficient number, since it is larger than the sum of its proper divisors (334233429708).

752016761721 is an frugal number, since it uses more digits than its factorization.

752016761721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578132 (or 289066 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 752016761721 in words is "seven hundred fifty-two billion, sixteen million, seven hundred sixty-one thousand, seven hundred twenty-one".