69672960 has 336 divisors, whose sum is σ = 286243776. Its totient is φ = 15925248.

The previous prime is 69672959. The next prime is 69672971. The reversal of 69672960 is 6927696.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4! ⋅ (2!)³.

It is a tau number, because it is divible by the number of its divisors (336).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9953277 + ... + 9953283.

It is an arithmetic number, because the mean of its divisors is an integer number (851916).

Almost surely, 2^69672960 is an apocalyptic number.

69672960 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 69672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143121888).

69672960 is an abundant number, since it is smaller than the sum of its proper divisors (216570816).

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

69672960 is an frugal number, since it uses more digits than its factorization.

69672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

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

The square root of 69672960 is about 8347.0330058051. The cubic root of 69672960 is about 411.4857063510.

The spelling of 69672960 in words is "sixty-nine million, six hundred seventy-two thousand, nine hundred sixty".