72015567 has 16 divisors (see below), whose sum is σ = 108850560. Its totient is φ = 41984352.

The previous prime is 72015539. The next prime is 72015569. The reversal of 72015567 is 76551027.

It is not a de Polignac number, because 72015567 - 2¹⁶ = 71950031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72015569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47853 + ... + 49334.

It is an arithmetic number, because the mean of its divisors is an integer number (6803160).

Almost surely, 2^72015567 is an apocalyptic number.

72015567 is a deficient number, since it is larger than the sum of its proper divisors (36834993).

72015567 is a wasteful number, since it uses less digits than its factorization.

72015567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97222.

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 72015567 is about 8486.1986189342. The cubic root of 72015567 is about 416.0467445470.

The spelling of 72015567 in words is "seventy-two million, fifteen thousand, five hundred sixty-seven".