724965120 has 288 divisors, whose sum is σ = 2807965440. Its totient is φ = 175656960.

The previous prime is 724965103. The next prime is 724965151. The reversal of 724965120 is 21569427.

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

It is a super-2 number, since 2×724965120² = 1051148850433228800, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379207 + ... + 381113.

It is an arithmetic number, because the mean of its divisors is an integer number (9749880).

Almost surely, 2^724965120 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 724965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403982720).

724965120 is an abundant number, since it is smaller than the sum of its proper divisors (2083000320).

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

724965120 is a wasteful number, since it uses less digits than its factorization.

724965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1928 counting only the distinct ones).

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

The square root of 724965120 is about 26925.1763225424. The cubic root of 724965120 is about 898.3364826835.

The spelling of 724965120 in words is "seven hundred twenty-four million, nine hundred sixty-five thousand, one hundred twenty".