72567901 has 16 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 60960240.

The previous prime is 72567881. The next prime is 72567907. The reversal of 72567901 is 10976527.

It is a cyclic number.

It is not a de Polignac number, because 72567901 - 2²¹ = 70470749 is a prime.

It is a super-2 number, since 2×72567901² = 10532200511091602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72567907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168156 + ... + 168586.

It is an arithmetic number, because the mean of its divisors is an integer number (5287680).

Almost surely, 2^72567901 is an apocalyptic number.

It is an amenable number.

72567901 is a deficient number, since it is larger than the sum of its proper divisors (12034979).

72567901 is a wasteful number, since it uses less digits than its factorization.

72567901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 26460, while the sum is 37.

The square root of 72567901 is about 8518.6795338245. The cubic root of 72567901 is about 417.1076807489.

The spelling of 72567901 in words is "seventy-two million, five hundred sixty-seven thousand, nine hundred one".