363539072 has 64 divisors (see below), whose sum is σ = 784614600. Its totient is φ = 166785024.

The previous prime is 363539053. The next prime is 363539083. The reversal of 363539072 is 270935363.

It can be written as a sum of positive squares in 4 ways, for example, as 249134656 + 114404416 = 15784^2 + 10696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327254 + ... + 328362.

Almost surely, 2^363539072 is an apocalyptic number.

363539072 is a gapful number since it is divisible by the number (32) 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 363539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392307300).

363539072 is an abundant number, since it is smaller than the sum of its proper divisors (421075528).

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

363539072 is a wasteful number, since it uses less digits than its factorization.

363539072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 38.

The square root of 363539072 is about 19066.7006060304. The cubic root of 363539072 is about 713.7021933316.

The spelling of 363539072 in words is "three hundred sixty-three million, five hundred thirty-nine thousand, seventy-two".