279999972 has 72 divisors (see below), whose sum is σ = 812448000. Its totient is φ = 79648128.

The previous prime is 279999949. The next prime is 279999983.

279999972 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57904 + ... + 62552.

It is an arithmetic number, because the mean of its divisors is an integer number (11284000).

Almost surely, 2^279999972 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 279999972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224000).

279999972 is an abundant number, since it is smaller than the sum of its proper divisors (532448028).

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

279999972 is a wasteful number, since it uses less digits than its factorization.

279999972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4900 counting only the distinct ones).

The product of its digits is 11573604, while the sum is 63.

The square root of 279999972 is about 16733.1996940215. The cubic root of 279999972 is about 654.2132402306.

279999972 divided by its sum of digits (63) gives a palindrome (4444444).

It can be divided in two parts, 27 and 9999972, that added together give a palindrome (9999999).

The spelling of 279999972 in words is "two hundred seventy-nine million, nine hundred ninety-nine thousand, nine hundred seventy-two".