72315801 has 8 divisors (see below), whose sum is σ = 107134560. Its totient is φ = 48210516.

The previous prime is 72315791. The next prime is 72315811. The reversal of 72315801 is 10851327.

It is an interprime number because it is at equal distance from previous prime (72315791) and next prime (72315811).

It is not a de Polignac number, because 72315801 - 2⁷ = 72315673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2678363 = 72315801 / (7 + 2 + 3 + 1 + 5 + 8 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (72315811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339155 + ... + 1339208.

It is an arithmetic number, because the mean of its divisors is an integer number (13391820).

Almost surely, 2^72315801 is an apocalyptic number.

It is an amenable number.

72315801 is a deficient number, since it is larger than the sum of its proper divisors (34818759).

72315801 is a wasteful number, since it uses less digits than its factorization.

72315801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678372 (or 2678366 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 72315801 is about 8503.8697661712. The cubic root of 72315801 is about 416.6241113516.

The spelling of 72315801 in words is "seventy-two million, three hundred fifteen thousand, eight hundred one".