712994100 has 432 divisors, whose sum is σ = 2668579200. Its totient is φ = 146764800.

The previous prime is 712994071. The next prime is 712994123. The reversal of 712994100 is 1499217.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17390080 + ... + 17390120.

Almost surely, 2^712994100 is an apocalyptic number.

712994100 is a gapful number since it is divisible by the number (70) 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 712994100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334289600).

712994100 is an abundant number, since it is smaller than the sum of its proper divisors (1955585100).

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

712994100 is a wasteful number, since it uses less digits than its factorization.

712994100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 712994100 is about 26701.9493670406. The cubic root of 712994100 is about 893.3644066690.

The spelling of 712994100 in words is "seven hundred twelve million, nine hundred ninety-four thousand, one hundred".