69972768 has 96 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 23079168.

The previous prime is 69972751. The next prime is 69972781. The reversal of 69972768 is 86727996.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93805 + ... + 94547.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 2^69972768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

69972768 is an abundant number, since it is smaller than the sum of its proper divisors (136264032).

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

69972768 is a wasteful number, since it uses less digits than its factorization.

69972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 69972768 is about 8364.9726837570. The cubic root of 69972768 is about 412.0750797913.

The spelling of 69972768 in words is "sixty-nine million, nine hundred seventy-two thousand, seven hundred sixty-eight".