745749072 has 80 divisors (see below), whose sum is σ = 2143850880. Its totient is φ = 248203008.

The previous prime is 745749029. The next prime is 745749073. The reversal of 745749072 is 270947547.

745749072 is a `hidden beast` number, since 7 + 4 + 574 + 9 + 0 + 72 = 666.

It is a super-2 number, since 2×745749072² = 1112283356777722368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745749073) 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, 514653 + ... + 516099.

It is an arithmetic number, because the mean of its divisors is an integer number (26798136).

Almost surely, 2^745749072 is an apocalyptic number.

745749072 is a gapful number since it is divisible by the number (72) 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 745749072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071925440).

745749072 is an abundant number, since it is smaller than the sum of its proper divisors (1398101808).

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

745749072 is a wasteful number, since it uses less digits than its factorization.

745749072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 745749072 is about 27308.4066177432. The cubic root of 745749072 is about 906.8404989168.

The spelling of 745749072 in words is "seven hundred forty-five million, seven hundred forty-nine thousand, seventy-two".