745125120 has 216 divisors, whose sum is σ = 2617235712. Its totient is φ = 195686400.

The previous prime is 745125107. The next prime is 745125127. The reversal of 745125120 is 21521547.

It is a super-2 number, since 2×745125120² = 1110422888910028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745125127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817465 + ... + 818375.

It is an arithmetic number, because the mean of its divisors is an integer number (12116832).

Almost surely, 2^745125120 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 745125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308617856).

745125120 is an abundant number, since it is smaller than the sum of its proper divisors (1872110592).

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

745125120 is a wasteful number, since it uses less digits than its factorization.

745125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 745125120 is about 27296.9800527458. The cubic root of 745125120 is about 906.5875171199.

Adding to 745125120 its reverse (21521547), we get a palindrome (766646667).

The spelling of 745125120 in words is "seven hundred forty-five million, one hundred twenty-five thousand, one hundred twenty".