726471936 has 144 divisors (see below), whose sum is σ = 2184790720. Its totient is φ = 238049280.

The previous prime is 726471919. The next prime is 726471947. The reversal of 726471936 is 639174627.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×726471936² = 1055522947591176192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 726471891 and 726471900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420771 + ... + 422493.

Almost surely, 2^726471936 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 726471936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092395360).

726471936 is an abundant number, since it is smaller than the sum of its proper divisors (1458318784).

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

726471936 is a wasteful number, since it uses less digits than its factorization.

726471936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1789 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 726471936 is about 26953.1433417329. The cubic root of 726471936 is about 898.9584395225.

The spelling of 726471936 in words is "seven hundred twenty-six million, four hundred seventy-one thousand, nine hundred thirty-six".