726074240 has 64 divisors (see below), whose sum is σ = 1749634560. Its totient is φ = 288110592.

The previous prime is 726074191. The next prime is 726074249. The reversal of 726074240 is 42470627.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 726074197 and 726074206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726074249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 76814 + ... + 85746.

It is an arithmetic number, because the mean of its divisors is an integer number (27338040).

Almost surely, 2^726074240 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 726074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874817280).

726074240 is an abundant number, since it is smaller than the sum of its proper divisors (1023560320).

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

726074240 is a wasteful number, since it uses less digits than its factorization.

726074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9079 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 726074240 is about 26945.7647878103. The cubic root of 726074240 is about 898.7943692096.

The spelling of 726074240 in words is "seven hundred twenty-six million, seventy-four thousand, two hundred forty".