712387200 has 192 divisors, whose sum is σ = 2681881920. Its totient is φ = 162816000.

The previous prime is 712387199. The next prime is 712387201. The reversal of 712387200 is 2783217.

It is an interprime number because it is at equal distance from previous prime (712387199) and next prime (712387201).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×712387200³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (712387201) 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, 61900 + ... + 72500.

It is an arithmetic number, because the mean of its divisors is an integer number (13968135).

Almost surely, 2^712387200 is an apocalyptic number.

712387200 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 712387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340940960).

712387200 is an abundant number, since it is smaller than the sum of its proper divisors (1969494720).

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

712387200 is a wasteful number, since it uses less digits than its factorization.

712387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 712387200 is about 26690.5826088529. The cubic root of 712387200 is about 893.1108576955.

The spelling of 712387200 in words is "seven hundred twelve million, three hundred eighty-seven thousand, two hundred".