72710132705 has 8 divisors (see below), whose sum is σ = 99716753472. Its totient is φ = 49858376688.

The previous prime is 72710132699. The next prime is 72710132723. The reversal of 72710132705 is 50723101727.

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 72710132705 - 2⁶ = 72710132641 is a prime.

It is a super-3 number, since 3×72710132705³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 2077432363 = 72710132705 / (7 + 2 + 7 + 1 + 0 + 1 + 3 + 2 + 7 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1038716147 + ... + 1038716216.

It is an arithmetic number, because the mean of its divisors is an integer number (12464594184).

Almost surely, 2^72710132705 is an apocalyptic number.

It is an amenable number.

72710132705 is a deficient number, since it is larger than the sum of its proper divisors (27006620767).

72710132705 is a wasteful number, since it uses less digits than its factorization.

72710132705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077432375.

The product of its (nonzero) digits is 20580, while the sum is 35.

The spelling of 72710132705 in words is "seventy-two billion, seven hundred ten million, one hundred thirty-two thousand, seven hundred five".