746130672 has 120 divisors (see below), whose sum is σ = 2490269184. Its totient is φ = 203905152.

The previous prime is 746130667. The next prime is 746130677. The reversal of 746130672 is 276031647.

It is an interprime number because it is at equal distance from previous prime (746130667) and next prime (746130677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746130677) 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, 7093 + ... + 39275.

Almost surely, 2^746130672 is an apocalyptic number.

746130672 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 746130672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245134592).

746130672 is an abundant number, since it is smaller than the sum of its proper divisors (1744138512).

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

746130672 is a wasteful number, since it uses less digits than its factorization.

746130672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32227 (or 32218 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 746130672 is about 27315.3925836697. The cubic root of 746130672 is about 906.9951493837.

The spelling of 746130672 in words is "seven hundred forty-six million, one hundred thirty thousand, six hundred seventy-two".