72713301 has 32 divisors (see below), whose sum is σ = 106748928. Its totient is φ = 43841280.

The previous prime is 72713299. The next prime is 72713309. The reversal of 72713301 is 10331727.

It is not a de Polignac number, because 72713301 - 2¹ = 72713299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72713309) 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 31 ways as a sum of consecutive naturals, for example, 155470 + ... + 155936.

It is an arithmetic number, because the mean of its divisors is an integer number (3335904).

Almost surely, 2^72713301 is an apocalyptic number.

72713301 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72713301 is a deficient number, since it is larger than the sum of its proper divisors (34035627).

72713301 is a wasteful number, since it uses less digits than its factorization.

72713301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 72713301 is about 8527.2094497555. The cubic root of 72713301 is about 417.3860728742.

It can be divided in two parts, 727 and 13301, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 72713301 in words is "seventy-two million, seven hundred thirteen thousand, three hundred one".