749400072 has 64 divisors (see below), whose sum is σ = 1960562880. Its totient is φ = 238447872.

The previous prime is 749400059. The next prime is 749400079. The reversal of 749400072 is 270004947.

It is not an unprimeable number, because it can be changed into a prime (749400079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39103 + ... + 55025.

It is an arithmetic number, because the mean of its divisors is an integer number (30633795).

Almost surely, 2^749400072 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 749400072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980281440).

749400072 is an abundant number, since it is smaller than the sum of its proper divisors (1211162808).

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

749400072 is a wasteful number, since it uses less digits than its factorization.

749400072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16022 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 749400072 is about 27375.1725474014. The cubic root of 749400072 is about 908.3179781223.

The spelling of 749400072 in words is "seven hundred forty-nine million, four hundred thousand, seventy-two".