72724407 has 8 divisors (see below), whose sum is σ = 110818176. Its totient is φ = 41556792.

The previous prime is 72724397. The next prime is 72724409. The reversal of 72724407 is 70442727.

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

It is not a de Polignac number, because 72724407 - 2¹² = 72720311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72724409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1731513 + ... + 1731554.

It is an arithmetic number, because the mean of its divisors is an integer number (13852272).

Almost surely, 2^72724407 is an apocalyptic number.

72724407 is a deficient number, since it is larger than the sum of its proper divisors (38093769).

72724407 is a wasteful number, since it uses less digits than its factorization.

72724407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463077.

The product of its (nonzero) digits is 21952, while the sum is 33.

The square root of 72724407 is about 8527.8606344147. The cubic root of 72724407 is about 417.4073218694.

The spelling of 72724407 in words is "seventy-two million, seven hundred twenty-four thousand, four hundred seven".