726541920 has 384 divisors, whose sum is σ = 2903402880. Its totient is φ = 168099840.

The previous prime is 726541919. The next prime is 726541939. The reversal of 726541920 is 29145627.

726541920 is a `hidden beast` number, since 7 + 26 + 541 + 92 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954340 + ... + 955100.

It is an arithmetic number, because the mean of its divisors is an integer number (7560945).

Almost surely, 2^726541920 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 726541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451701440).

726541920 is an abundant number, since it is smaller than the sum of its proper divisors (2176860960).

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

726541920 is a wasteful number, since it uses less digits than its factorization.

726541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 726541920 is about 26954.4415634975. The cubic root of 726541920 is about 898.9873053714.

The spelling of 726541920 in words is "seven hundred twenty-six million, five hundred forty-one thousand, nine hundred twenty".