72352567 has 12 divisors (see below), whose sum is σ = 84374136. Its totient is φ = 61862640.

The previous prime is 72352559. The next prime is 72352571. The reversal of 72352567 is 76525327.

It is not a de Polignac number, because 72352567 - 2³ = 72352559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72352517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20988 + ... + 24190.

It is an arithmetic number, because the mean of its divisors is an integer number (7031178).

Almost surely, 2^72352567 is an apocalyptic number.

72352567 is a deficient number, since it is larger than the sum of its proper divisors (12021569).

72352567 is a wasteful number, since it uses less digits than its factorization.

72352567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3671 counting only the distinct ones).

The product of its digits is 88200, while the sum is 37.

The square root of 72352567 is about 8506.0312132040. The cubic root of 72352567 is about 416.6947045310.

The spelling of 72352567 in words is "seventy-two million, three hundred fifty-two thousand, five hundred sixty-seven".