727609104 has 120 divisors (see below), whose sum is σ = 2173427360. Its totient is φ = 226561536.

The previous prime is 727609097. The next prime is 727609111. The reversal of 727609104 is 401906727.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (727609097) and next prime (727609111).

It is a super-3 number, since 3×727609104³ (a number of 28 digits) contains 333 as substring.

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, 197907 + ... + 201549.

Almost surely, 2^727609104 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 727609104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086713680).

727609104 is an abundant number, since it is smaller than the sum of its proper divisors (1445818256).

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

727609104 is a wasteful number, since it uses less digits than its factorization.

727609104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 727609104 is about 26974.2303690022. The cubic root of 727609104 is about 899.4272504009.

The spelling of 727609104 in words is "seven hundred twenty-seven million, six hundred nine thousand, one hundred four".