727534080 has 480 divisors, whose sum is σ = 3110050944. Its totient is φ = 153059328.

The previous prime is 727534069. The next prime is 727534097. The reversal of 727534080 is 80435727.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×727534080² = 1058611675122892800, which contains 22 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 47 ways as a sum of consecutive naturals, for example, 2096467 + ... + 2096813.

Almost surely, 2^727534080 is an apocalyptic number.

727534080 is a gapful number since it is divisible by the number (70) 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 727534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555025472).

727534080 is an abundant number, since it is smaller than the sum of its proper divisors (2382516864).

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

727534080 is a wasteful number, since it uses less digits than its factorization.

727534080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 727534080 is about 26972.8396725298. The cubic root of 727534080 is about 899.3963359309.

The spelling of 727534080 in words is "seven hundred twenty-seven million, five hundred thirty-four thousand, eighty".