72431047 has 8 divisors (see below), whose sum is σ = 78137360. Its totient is φ = 66744000.

The previous prime is 72430997. The next prime is 72431057. The reversal of 72431047 is 74013427.

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 72431047 - 2¹⁵ = 72398279 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 (72431057) 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 7 ways as a sum of consecutive naturals, for example, 3547 + ... + 12547.

It is an arithmetic number, because the mean of its divisors is an integer number (9767170).

Almost surely, 2^72431047 is an apocalyptic number.

72431047 is a deficient number, since it is larger than the sum of its proper divisors (5706313).

72431047 is a wasteful number, since it uses less digits than its factorization.

72431047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633.

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 72431047 is about 8510.6431601848. The cubic root of 72431047 is about 416.8453114134.

The spelling of 72431047 in words is "seventy-two million, four hundred thirty-one thousand, forty-seven".