726677952 has 448 divisors, whose sum is σ = 2731008000. Its totient is φ = 164229120.

The previous prime is 726677927. The next prime is 726677993. The reversal of 726677952 is 259776627.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 726677895 and 726677904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3651549 + ... + 3651747.

It is an arithmetic number, because the mean of its divisors is an integer number (6096000).

Almost surely, 2^726677952 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 726677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365504000).

726677952 is an abundant number, since it is smaller than the sum of its proper divisors (2004330048).

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

726677952 is a wasteful number, since it uses less digits than its factorization.

726677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The square root of 726677952 is about 26956.9648143110. The cubic root of 726677952 is about 899.0434083097.

The spelling of 726677952 in words is "seven hundred twenty-six million, six hundred seventy-seven thousand, nine hundred fifty-two".