72813705 has 8 divisors (see below), whose sum is σ = 116501952. Its totient is φ = 38833968.

The previous prime is 72813701. The next prime is 72813709. The reversal of 72813705 is 50731827.

It is an interprime number because it is at equal distance from previous prime (72813701) and next prime (72813709).

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

It is not a de Polignac number, because 72813705 - 2² = 72813701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72813701) 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, 2427109 + ... + 2427138.

It is an arithmetic number, because the mean of its divisors is an integer number (14562744).

Almost surely, 2^72813705 is an apocalyptic number.

It is an amenable number.

72813705 is a deficient number, since it is larger than the sum of its proper divisors (43688247).

72813705 is a wasteful number, since it uses less digits than its factorization.

72813705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854255.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 72813705 is about 8533.0946906735. The cubic root of 72813705 is about 417.5780962348.

The spelling of 72813705 in words is "seventy-two million, eight hundred thirteen thousand, seven hundred five".