727134408 has 640 divisors, whose sum is σ = 2927232000. Its totient is φ = 162362880.

The previous prime is 727134403. The next prime is 727134409. The reversal of 727134408 is 804431727.

It is a happy number.

It is a super-3 number, since 3×727134408³ (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 not an unprimeable number, because it can be changed into a prime (727134403) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12324283 + ... + 12324341.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^727134408 is an apocalyptic number.

727134408 is a gapful number since it is divisible by the number (78) 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 727134408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463616000).

727134408 is an abundant number, since it is smaller than the sum of its proper divisors (2200097592).

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

727134408 is a wasteful number, since it uses less digits than its factorization.

727134408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 727134408 is about 26965.4298686299. The cubic root of 727134408 is about 899.2316108290.

The spelling of 727134408 in words is "seven hundred twenty-seven million, one hundred thirty-four thousand, four hundred eight".