724273920 has 288 divisors, whose sum is σ = 2707891200. Its totient is φ = 182808576.

The previous prime is 724273919. The next prime is 724273931. The reversal of 724273920 is 29372427.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×724273920² = 1049145422384332800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 656089 + ... + 657191.

It is an arithmetic number, because the mean of its divisors is an integer number (9402400).

Almost surely, 2^724273920 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 724273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353945600).

724273920 is an abundant number, since it is smaller than the sum of its proper divisors (1983617280).

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

724273920 is a wasteful number, since it uses less digits than its factorization.

724273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 724273920 is about 26912.3376911037. The cubic root of 724273920 is about 898.0508930272.

The spelling of 724273920 in words is "seven hundred twenty-four million, two hundred seventy-three thousand, nine hundred twenty".