727332480 has 384 divisors, whose sum is σ = 3000024000. Its totient is φ = 166053888.

The previous prime is 727332479. The next prime is 727332493. The reversal of 727332480 is 84233727.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 846291 + ... + 847149.

Almost surely, 2^727332480 is an apocalyptic number.

727332480 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 727332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500012000).

727332480 is an abundant number, since it is smaller than the sum of its proper divisors (2272691520).

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

727332480 is a wasteful number, since it uses less digits than its factorization.

727332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 727332480 is about 26969.1023209895. The cubic root of 727332480 is about 899.3132538886.

The spelling of 727332480 in words is "seven hundred twenty-seven million, three hundred thirty-two thousand, four hundred eighty".