743072520 has 128 divisors (see below), whose sum is σ = 2404080000. Its totient is φ = 183121920.

The previous prime is 743072509. The next prime is 743072527. The reversal of 743072520 is 25270347.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (743072527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89506 + ... + 97454.

It is an arithmetic number, because the mean of its divisors is an integer number (18781875).

Almost surely, 2^743072520 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 743072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202040000).

743072520 is an abundant number, since it is smaller than the sum of its proper divisors (1661007480).

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

743072520 is a wasteful number, since it uses less digits than its factorization.

743072520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 743072520 is about 27259.3565588038. The cubic root of 743072520 is about 905.7542911217.

The spelling of 743072520 in words is "seven hundred forty-three million, seventy-two thousand, five hundred twenty".