72205605 has 48 divisors (see below), whose sum is σ = 133536000. Its totient is φ = 35987328.

The previous prime is 72205591. The next prime is 72205619. The reversal of 72205605 is 50650227.

It is an interprime number because it is at equal distance from previous prime (72205591) and next prime (72205619).

It is not a de Polignac number, because 72205605 - 2⁴ = 72205589 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67011 + ... + 68079.

It is an arithmetic number, because the mean of its divisors is an integer number (2782000).

Almost surely, 2^72205605 is an apocalyptic number.

It is an amenable number.

72205605 is a deficient number, since it is larger than the sum of its proper divisors (61330395).

72205605 is a wasteful number, since it uses less digits than its factorization.

72205605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72205605 is about 8497.3881281250. The cubic root of 72205605 is about 416.4123842264.

The spelling of 72205605 in words is "seventy-two million, two hundred five thousand, six hundred five".