727650264 has 128 divisors (see below), whose sum is σ = 2082931200. Its totient is φ = 209679360.

The previous prime is 727650233. The next prime is 727650299. The reversal of 727650264 is 462056727.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1778892 + ... + 1779300.

It is an arithmetic number, because the mean of its divisors is an integer number (16272900).

Almost surely, 2^727650264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727650264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041465600).

727650264 is an abundant number, since it is smaller than the sum of its proper divisors (1355280936).

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

727650264 is a wasteful number, since it uses less digits than its factorization.

727650264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 727650264 is about 26974.9933086183. The cubic root of 727650264 is about 899.4442099320. Note that the first 3 decimals are identical.

It can be divided in two parts, 727650 and 264, that multiplied together give a square (192099600 = 13860²).

The spelling of 727650264 in words is "seven hundred twenty-seven million, six hundred fifty thousand, two hundred sixty-four".