727523352 has 72 divisors (see below), whose sum is σ = 2019941820. Its totient is φ = 236553600.

The previous prime is 727523339. The next prime is 727523353. The reversal of 727523352 is 253325727.

It is a tau number, because it is divible by the number of its divisors (72).

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 (727523353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118027 + ... + 124037.

Almost surely, 2^727523352 is an apocalyptic number.

727523352 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 727523352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009970910).

727523352 is an abundant number, since it is smaller than the sum of its proper divisors (1292418468).

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

727523352 is a wasteful number, since it uses less digits than its factorization.

727523352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6057 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 727523352 is about 26972.6408050825. The cubic root of 727523352 is about 899.3919151661.

The spelling of 727523352 in words is "seven hundred twenty-seven million, five hundred twenty-three thousand, three hundred fifty-two".