72505264542 has 16 divisors (see below), whose sum is σ = 145013978640. Its totient is φ = 24167846592.

The previous prime is 72505264519. The next prime is 72505264591. The reversal of 72505264542 is 24546250527.

It is a junction number, because it is equal to n+sod(n) for n = 72505264494 and 72505264503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188634 + ... + 424962.

It is an arithmetic number, because the mean of its divisors is an integer number (9063373665).

Almost surely, 2^72505264542 is an apocalyptic number.

72505264542 is an abundant number, since it is smaller than the sum of its proper divisors (72508714098).

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

72505264542 is a wasteful number, since it uses less digits than its factorization.

72505264542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287467.

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 72505264542 in words is "seventy-two billion, five hundred five million, two hundred sixty-four thousand, five hundred forty-two".