72509542 has 16 divisors (see below), whose sum is σ = 124411392. Its totient is φ = 31048200.

The previous prime is 72509533. The next prime is 72509543. The reversal of 72509542 is 24590527.

It is a junction number, because it is equal to n+sod(n) for n = 72509498 and 72509507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72509543) 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, 29667 + ... + 32017.

It is an arithmetic number, because the mean of its divisors is an integer number (7775712).

Almost surely, 2^72509542 is an apocalyptic number.

72509542 is a deficient number, since it is larger than the sum of its proper divisors (51901850).

72509542 is a wasteful number, since it uses less digits than its factorization.

72509542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 72509542 is about 8515.2534900612. The cubic root of 72509542 is about 416.9958382998.

The spelling of 72509542 in words is "seventy-two million, five hundred nine thousand, five hundred forty-two".