5355072 has 70 divisors (see below), whose sum is σ = 15889478. Its totient is φ = 1783296.

The previous prime is 5355071. The next prime is 5355083. The reversal of 5355072 is 2705535.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 46656 = 2304^2 + 216^2 .

It is a super-2 number, since 2×5355072² = 57353592250368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5355071) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4668 + ... + 5700.

Almost surely, 2^5355072 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 5355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944739).

5355072 is an abundant number, since it is smaller than the sum of its proper divisors (10534406).

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

5355072 is a wasteful number, since it uses less digits than its factorization.

5355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 5355072 is about 2314.1028499183. The cubic root of 5355072 is about 174.9531520857.

The spelling of 5355072 in words is "five million, three hundred fifty-five thousand, seventy-two".