72416324257025 has 48 divisors (see below), whose sum is σ = 108666538039296. Its totient is φ = 46733531013120.

The previous prime is 72416324257001. The next prime is 72416324257073. The reversal of 72416324257025 is 52075242361427.

It is not a de Polignac number, because 72416324257025 - 2¹⁴ = 72416324240641 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58702112 + ... + 59923038.

It is an arithmetic number, because the mean of its divisors is an integer number (2263886209152).

Almost surely, 2^{72416324257025} is an apocalyptic number.

It is an amenable number.

72416324257025 is a deficient number, since it is larger than the sum of its proper divisors (36250213782271).

72416324257025 is a wasteful number, since it uses less digits than its factorization.

72416324257025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240898 (or 1240893 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 50.

The spelling of 72416324257025 in words is "seventy-two trillion, four hundred sixteen billion, three hundred twenty-four million, two hundred fifty-seven thousand, twenty-five".