72607301 has 12 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 64855440.

The previous prime is 72607291. The next prime is 72607331. The reversal of 72607301 is 10370627.

It is not a de Polignac number, because 72607301 - 2⁶ = 72607237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72607331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1691 + ... + 12168.

It is an arithmetic number, because the mean of its divisors is an integer number (6763680).

Almost surely, 2^72607301 is an apocalyptic number.

It is an amenable number.

72607301 is a deficient number, since it is larger than the sum of its proper divisors (8556859).

72607301 is a wasteful number, since it uses less digits than its factorization.

72607301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13916 (or 13903 counting only the distinct ones).

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

The square root of 72607301 is about 8520.9917849978. The cubic root of 72607301 is about 417.1831552083.

Subtracting from 72607301 its sum of digits (26), we obtain a triangular number (72607275 = T₁₂₀₅₀).

Adding to 72607301 its reverse (10370627), we get a palindrome (82977928).

The spelling of 72607301 in words is "seventy-two million, six hundred seven thousand, three hundred one".