72505071225 has 72 divisors (see below), whose sum is σ = 133585949952. Its totient is φ = 37576598400.

The previous prime is 72505071209. The next prime is 72505071241. The reversal of 72505071225 is 52217050527.

72505071225 is a `hidden beast` number, since 7 + 25 + 0 + 507 + 122 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (72505071209) and next prime (72505071241).

It is not a de Polignac number, because 72505071225 - 2⁴ = 72505071209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72505071225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1107352 + ... + 1170998.

It is an arithmetic number, because the mean of its divisors is an integer number (1855360416).

Almost surely, 2^72505071225 is an apocalyptic number.

72505071225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72505071225 is a deficient number, since it is larger than the sum of its proper divisors (61080878727).

72505071225 is a wasteful number, since it uses less digits than its factorization.

72505071225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63807 (or 63799 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 72505071225 in words is "seventy-two billion, five hundred five million, seventy-one thousand, two hundred twenty-five".