72367601 has 8 divisors (see below), whose sum is σ = 73777704. Its totient is φ = 70968960.

The previous prime is 72367577. The next prime is 72367619. The reversal of 72367601 is 10676327.

It can be written as a sum of positive squares in 4 ways, for example, as 14592400 + 57775201 = 3820^2 + 7601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72367601 - 2¹⁰ = 72366577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72367621) 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 7 ways as a sum of consecutive naturals, for example, 10475 + ... + 15951.

It is an arithmetic number, because the mean of its divisors is an integer number (9222213).

Almost surely, 2^72367601 is an apocalyptic number.

It is an amenable number.

72367601 is a deficient number, since it is larger than the sum of its proper divisors (1410103).

72367601 is a wasteful number, since it uses less digits than its factorization.

72367601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 72367601 is about 8506.9148931913. The cubic root of 72367601 is about 416.7235639279.

The spelling of 72367601 in words is "seventy-two million, three hundred sixty-seven thousand, six hundred one".