726948 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 235872.

The previous prime is 726941. The next prime is 726953. The reversal of 726948 is 849627.

726948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726948.

It is not an unprimeable number, because it can be changed into a prime (726941) by changing a digit.

726948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5661 + ... + 5787.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁷²⁶⁹⁴⁸ 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 726948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

726948 is an abundant number, since it is smaller than the sum of its proper divisors (1208412).

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

726948 is a wasteful number, since it uses less digits than its factorization.

726948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 726948 is about 852.6124559259. The cubic root of 726948 is about 89.9154761996.

The spelling of 726948 in words is "seven hundred twenty-six thousand, nine hundred forty-eight".