72431757 has 24 divisors (see below), whose sum is σ = 107225664. Its totient is φ = 47101824.

The previous prime is 72431753. The next prime is 72431771. The reversal of 72431757 is 75713427.

It is not a de Polignac number, because 72431757 - 2² = 72431753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72431753) 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 23 ways as a sum of consecutive naturals, for example, 67608 + ... + 68670.

It is an arithmetic number, because the mean of its divisors is an integer number (4467736).

Almost surely, 2^72431757 is an apocalyptic number.

It is an amenable number.

72431757 is a deficient number, since it is larger than the sum of its proper divisors (34793907).

72431757 is a wasteful number, since it uses less digits than its factorization.

72431757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1246 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 72431757 is about 8510.6848725587. The cubic root of 72431757 is about 416.8466734407.

The spelling of 72431757 in words is "seventy-two million, four hundred thirty-one thousand, seven hundred fifty-seven".