69966720 has 128 divisors (see below), whose sum is σ = 247860000. Its totient is φ = 18653184.

The previous prime is 69966641. The next prime is 69966733. The reversal of 69966720 is 2766996.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) 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 (45).

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, 15256 + ... + 19304.

Almost surely, 2^69966720 is an apocalyptic number.

69966720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123930000).

69966720 is an abundant number, since it is smaller than the sum of its proper divisors (177893280).

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

69966720 is a wasteful number, since it uses less digits than its factorization.

69966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 69966720 is about 8364.6111684883. The cubic root of 69966720 is about 412.0632070682.

The spelling of 69966720 in words is "sixty-nine million, nine hundred sixty-six thousand, seven hundred twenty".