252819072 has 192 divisors, whose sum is σ = 807693120. Its totient is φ = 75264000.

The previous prime is 252819067. The next prime is 252819089. The reversal of 252819072 is 270918252.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 899572 + ... + 899852.

It is an arithmetic number, because the mean of its divisors is an integer number (4206735).

Almost surely, 2^252819072 is an apocalyptic number.

252819072 is a gapful number since it is divisible by the number (22) 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 252819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403846560).

252819072 is an abundant number, since it is smaller than the sum of its proper divisors (554874048).

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

252819072 is a wasteful number, since it uses less digits than its factorization.

252819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 252819072 is about 15900.2852804596. The cubic root of 252819072 is about 632.3195521218.

The spelling of 252819072 in words is "two hundred fifty-two million, eight hundred nineteen thousand, seventy-two".