72168510 has 32 divisors (see below), whose sum is σ = 176476320. Its totient is φ = 18881408.

The previous prime is 72168497. The next prime is 72168511. The reversal of 72168510 is 1586127.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72168511) 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 15 ways as a sum of consecutive naturals, for example, 21105 + ... + 24284.

It is an arithmetic number, because the mean of its divisors is an integer number (5514885).

Almost surely, 2^72168510 is an apocalyptic number.

72168510 is an abundant number, since it is smaller than the sum of its proper divisors (104307810).

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

72168510 is a wasteful number, since it uses less digits than its factorization.

72168510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45452.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 72168510 is about 8495.2051181828. The cubic root of 72168510 is about 416.3410626008.

The spelling of 72168510 in words is "seventy-two million, one hundred sixty-eight thousand, five hundred ten".