752020929 has 45 divisors (see below), whose sum is σ = 1239273651. Its totient is φ = 454124880.

The previous prime is 752020889. The next prime is 752020991. The reversal of 752020929 is 929020257.

The square root of 752020929 is 27423.

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

It can be written as a sum of positive squares in only one way, i.e., 129618225 + 622402704 = 11385^2 + 24948^2 .

It is not a de Polignac number, because 752020929 - 2¹¹ = 752018881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 752020893 and 752020902.

It is not an unprimeable number, because it can be changed into a prime (752020229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2714739 + ... + 2715015.

Almost surely, 2^752020929 is an apocalyptic number.

752020929 is the 27423-rd square number.

752020929 is the 13712-nd centered octagonal number.

It is an amenable number.

752020929 is a deficient number, since it is larger than the sum of its proper divisors (487252722).

752020929 is an equidigital number, since it uses as much as digits as its factorization.

752020929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The cubic root of 752020929 is about 909.3756249119.

Multiplying 752020929 by its sum of digits (36), we get a square (27072753444 = 164538²).

The spelling of 752020929 in words is "seven hundred fifty-two million, twenty thousand, nine hundred twenty-nine".