72113493 has 32 divisors (see below), whose sum is σ = 104232960. Its totient is φ = 44210880.

The previous prime is 72113479. The next prime is 72113497. The reversal of 72113493 is 39431127.

It is not a de Polignac number, because 72113493 - 2¹² = 72109397 is a prime.

It is a super-2 number, since 2×72113493² = 10400711745322098, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72113493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72113497) 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 31 ways as a sum of consecutive naturals, for example, 416755 + ... + 416927.

It is an arithmetic number, because the mean of its divisors is an integer number (3257280).

Almost surely, 2^72113493 is an apocalyptic number.

It is an amenable number.

72113493 is a deficient number, since it is larger than the sum of its proper divisors (32119467).

72113493 is a wasteful number, since it uses less digits than its factorization.

72113493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its digits is 4536, while the sum is 30.

The square root of 72113493 is about 8491.9663800559. The cubic root of 72113493 is about 416.2352377778.

The spelling of 72113493 in words is "seventy-two million, one hundred thirteen thousand, four hundred ninety-three".