72524941 has 8 divisors (see below), whose sum is σ = 78664824. Its totient is φ = 66593280.

The previous prime is 72524939. The next prime is 72524951. The reversal of 72524941 is 14942527.

It can be written as a sum of positive squares in 4 ways, for example, as 11356900 + 61168041 = 3370^2 + 7821^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72524941 - 2¹ = 72524939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72524897 and 72524906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72524951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51330 + ... + 52723.

It is an arithmetic number, because the mean of its divisors is an integer number (9833103).

Almost surely, 2^72524941 is an apocalyptic number.

It is an amenable number.

72524941 is a deficient number, since it is larger than the sum of its proper divisors (6139883).

72524941 is a wasteful number, since it uses less digits than its factorization.

72524941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104111.

The product of its digits is 20160, while the sum is 34.

The square root of 72524941 is about 8516.1576429749. The cubic root of 72524941 is about 417.0253556305.

It can be divided in two parts, 725249 and 41, that multiplied together give a square (29735209 = 5453²).

The spelling of 72524941 in words is "seventy-two million, five hundred twenty-four thousand, nine hundred forty-one".