72506431 has 8 divisors (see below), whose sum is σ = 73861200. Its totient is φ = 71163840.

The previous prime is 72506429. The next prime is 72506449. The reversal of 72506431 is 13460527.

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 72506431 - 2¹ = 72506429 is a prime.

It is a super-2 number, since 2×72506431² = 10514365072715522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72506431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9441 + ... + 15301.

It is an arithmetic number, because the mean of its divisors is an integer number (9232650).

Almost surely, 2^72506431 is an apocalyptic number.

72506431 is a deficient number, since it is larger than the sum of its proper divisors (1354769).

72506431 is a wasteful number, since it uses less digits than its factorization.

72506431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72506431 is about 8515.0708159122. The cubic root of 72506431 is about 416.9898745210.

Adding to 72506431 its reverse (13460527), we get a palindrome (85966958).

The spelling of 72506431 in words is "seventy-two million, five hundred six thousand, four hundred thirty-one".