72641529 has 15 divisors (see below), whose sum is σ = 108628597. Its totient is φ = 48376548.

The previous prime is 72641519. The next prime is 72641531. The reversal of 72641529 is 92514627.

The square root of 72641529 is 8523.

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

72641529 is a `hidden beast` number, since 7 + 2 + 641 + 5 + 2 + 9 = 666.

It is not a de Polignac number, because 72641529 - 2¹¹ = 72639481 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72641493 and 72641502.

It is not an unprimeable number, because it can be changed into a prime (72641509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 76234 + ... + 77180.

Almost surely, 2^72641529 is an apocalyptic number.

72641529 is the 8523-rd square number.

72641529 is the 4262-nd centered octagonal number.

It is an amenable number.

72641529 is a deficient number, since it is larger than the sum of its proper divisors (35987068).

72641529 is an frugal number, since it uses more digits than its factorization.

72641529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 950 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The cubic root of 72641529 is about 417.2487000484.

Multiplying 72641529 by its sum of digits (36), we get a square (2615095044 = 51138²).

It can be divided in two parts, 72 and 641529, that added together give a square (641601 = 801²).

The spelling of 72641529 in words is "seventy-two million, six hundred forty-one thousand, five hundred twenty-nine".