744372720 has 480 divisors, whose sum is σ = 3217919040. Its totient is φ = 156764160.

The previous prime is 744372701. The next prime is 744372731. The reversal of 744372720 is 27273447.

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 95 ways as a sum of consecutive naturals, for example, 1375650 + ... + 1376190.

It is an arithmetic number, because the mean of its divisors is an integer number (6703998).

Almost surely, 2^744372720 is an apocalyptic number.

744372720 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 744372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608959520).

744372720 is an abundant number, since it is smaller than the sum of its proper divisors (2473546320).

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

744372720 is a wasteful number, since it uses less digits than its factorization.

744372720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 744372720 is about 27283.1948275857. The cubic root of 744372720 is about 906.2822680861.

The spelling of 744372720 in words is "seven hundred forty-four million, three hundred seventy-two thousand, seven hundred twenty".