72509450 has 36 divisors (see below), whose sum is σ = 146057058. Its totient is φ = 26769600.

The previous prime is 72509441. The next prime is 72509473. The reversal of 72509450 is 5490527.

It can be written as a sum of positive squares in 9 ways, for example, as 18207289 + 54302161 = 4267^2 + 7369^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4160 + ... + 12740.

Almost surely, 2^72509450 is an apocalyptic number.

72509450 is an abundant number, since it is smaller than the sum of its proper divisors (73547608).

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

72509450 is a wasteful number, since it uses less digits than its factorization.

72509450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8601 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 72509450 is about 8515.2480879890. The cubic root of 72509450 is about 416.9956619385.

Adding to 72509450 its reverse (5490527), we get a palindrome (77999977).

The spelling of 72509450 in words is "seventy-two million, five hundred nine thousand, four hundred fifty".