365721120 has 144 divisors (see below), whose sum is σ = 1313807040. Its totient is φ = 92385792.

The previous prime is 365721113. The next prime is 365721127. The reversal of 365721120 is 21127563.

It is a happy number.

365721120 is a `hidden beast` number, since 3 + 657 + 2 + 1 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (365721113) and next prime (365721127).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×365721120² = 267503875228108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (365721127) by changing a digit.

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, 20677 + ... + 34043.

It is an arithmetic number, because the mean of its divisors is an integer number (9123660).

Almost surely, 2^365721120 is an apocalyptic number.

365721120 is a gapful number since it is divisible by the number (30) 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 365721120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656903520).

365721120 is an abundant number, since it is smaller than the sum of its proper divisors (948085920).

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

365721120 is a wasteful number, since it uses less digits than its factorization.

365721120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407 (or 13396 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 365721120 is about 19123.8364351926. The cubic root of 365721120 is about 715.1272826688.

Adding to 365721120 its reverse (21127563), we get a palindrome (386848683).

The spelling of 365721120 in words is "three hundred sixty-five million, seven hundred twenty-one thousand, one hundred twenty".