72106307 has 8 divisors (see below), whose sum is σ = 88746336. Its totient is φ = 57051072.

The previous prime is 72106301. The next prime is 72106327. The reversal of 72106307 is 70360127.

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

It is not a de Polignac number, because 72106307 - 2¹⁰ = 72105283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72106301) 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, 396098 + ... + 396279.

It is an arithmetic number, because the mean of its divisors is an integer number (11093292).

Almost surely, 2^72106307 is an apocalyptic number.

72106307 is a deficient number, since it is larger than the sum of its proper divisors (16640029).

72106307 is a wasteful number, since it uses less digits than its factorization.

72106307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792397.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 72106307 is about 8491.5432637419. The cubic root of 72106307 is about 416.2214115822.

The spelling of 72106307 in words is "seventy-two million, one hundred six thousand, three hundred seven".