726673920 has 240 divisors, whose sum is σ = 2703764448. Its totient is φ = 166010880.

The previous prime is 726673877. The next prime is 726673921. The reversal of 726673920 is 29376627.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726673921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375355 + ... + 377285.

Almost surely, 2^726673920 is an apocalyptic number.

726673920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351882224).

726673920 is an abundant number, since it is smaller than the sum of its proper divisors (1977090528).

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

726673920 is a wasteful number, since it uses less digits than its factorization.

726673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 726673920 is about 26956.8900283397. The cubic root of 726673920 is about 899.0417455146.

The spelling of 726673920 in words is "seven hundred twenty-six million, six hundred seventy-three thousand, nine hundred twenty".