727206552 has 128 divisors (see below), whose sum is σ = 2212920000. Its totient is φ = 220243968.

The previous prime is 727206541. The next prime is 727206553. The reversal of 727206552 is 255602727.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727206553) 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 31 ways as a sum of consecutive naturals, for example, 103074 + ... + 109902.

Almost surely, 2^727206552 is an apocalyptic number.

727206552 is a gapful number since it is divisible by the number (72) 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 727206552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106460000).

727206552 is an abundant number, since it is smaller than the sum of its proper divisors (1485713448).

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

727206552 is a wasteful number, since it uses less digits than its factorization.

727206552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6890 (or 6880 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 727206552 is about 26966.7675482250. The cubic root of 727206552 is about 899.2613494941.

The spelling of 727206552 in words is "seven hundred twenty-seven million, two hundred six thousand, five hundred fifty-two".