69972 has 48 divisors (see below), whose sum is σ = 201600. Its totient is φ = 18816.

The previous prime is 69959. The next prime is 69991. The reversal of 69972 is 27996.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

69972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4108 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁶⁹⁹⁷² 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 69972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

69972 is an abundant number, since it is smaller than the sum of its proper divisors (131628).

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

69972 is a wasteful number, since it uses less digits than its factorization.

69972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 69972 is about 264.5222107877. The cubic root of 69972 is about 41.2073572182.

The spelling of 69972 in words is "sixty-nine thousand, nine hundred seventy-two".