72128463 has 12 divisors (see below), whose sum is σ = 105709464. Its totient is φ = 43714000.

The previous prime is 72128431. The next prime is 72128473. The reversal of 72128463 is 36482127.

It is not a de Polignac number, because 72128463 - 2⁵ = 72128431 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72128473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98988 + ... + 99713.

It is an arithmetic number, because the mean of its divisors is an integer number (8809122).

Almost surely, 2^72128463 is an apocalyptic number.

72128463 is a deficient number, since it is larger than the sum of its proper divisors (33581001).

72128463 is a wasteful number, since it uses less digits than its factorization.

72128463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198726 (or 198715 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 72128463 is about 8492.8477556118. The cubic root of 72128463 is about 416.2640377991.

The spelling of 72128463 in words is "seventy-two million, one hundred twenty-eight thousand, four hundred sixty-three".