753072012 has 192 divisors, whose sum is σ = 2455649280. Its totient is φ = 193881600.

The previous prime is 753071981. The next prime is 753072017. The reversal of 753072012 is 210270357.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (753072017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138962 + ... + 1139622.

It is an arithmetic number, because the mean of its divisors is an integer number (12789840).

Almost surely, 2^753072012 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 753072012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227824640).

753072012 is an abundant number, since it is smaller than the sum of its proper divisors (1702577268).

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

753072012 is a wasteful number, since it uses less digits than its factorization.

753072012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 753072012 is about 27442.1575682380. The cubic root of 753072012 is about 909.7990990710.

The spelling of 753072012 in words is "seven hundred fifty-three million, seventy-two thousand, twelve".