72713801 has 8 divisors (see below), whose sum is σ = 73773000. Its totient is φ = 71660160.

The previous prime is 72713789. The next prime is 72713807. The reversal of 72713801 is 10831727.

It can be written as a sum of positive squares in 4 ways, for example, as 12418576 + 60295225 = 3524^2 + 7765^2 .

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 72713801 - 2²² = 68519497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72713807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29891 + ... + 32231.

It is an arithmetic number, because the mean of its divisors is an integer number (9221625).

Almost surely, 2^72713801 is an apocalyptic number.

It is an amenable number.

72713801 is a deficient number, since it is larger than the sum of its proper divisors (1059199).

72713801 is a wasteful number, since it uses less digits than its factorization.

72713801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 72713801 is about 8527.2387676199. The cubic root of 72713801 is about 417.3870295656.

The spelling of 72713801 in words is "seventy-two million, seven hundred thirteen thousand, eight hundred one".