72127468 has 24 divisors (see below), whose sum is σ = 144490752. Its totient is φ = 30861264.

The previous prime is 72127457. The next prime is 72127493. The reversal of 72127468 is 86472127.

It is an unprimeable number.

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, 19071 + ... + 22537.

It is an arithmetic number, because the mean of its divisors is an integer number (6020448).

Almost surely, 2^72127468 is an apocalyptic number.

It is an amenable number.

72127468 is an abundant number, since it is smaller than the sum of its proper divisors (72363284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72127468 is a wasteful number, since it uses less digits than its factorization.

72127468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4219 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 72127468 is about 8492.7891767075. The cubic root of 72127468 is about 416.2621236928.

It can be divided in two parts, 72127 and 468, that multiplied together give a triangular number (33755436 = T₈₂₁₆).

The spelling of 72127468 in words is "seventy-two million, one hundred twenty-seven thousand, four hundred sixty-eight".