712421600 has 144 divisors (see below), whose sum is σ = 1925033040. Its totient is φ = 255283200.

The previous prime is 712421599. The next prime is 712421609. The reversal of 712421600 is 6124217.

It is a super-2 number, since 2×712421600² = 1015089072293120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712421609) 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, 641846 + ... + 642954.

It is an arithmetic number, because the mean of its divisors is an integer number (13368285).

Almost surely, 2^712421600 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 712421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962516520).

712421600 is an abundant number, since it is smaller than the sum of its proper divisors (1212611440).

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

712421600 is a wasteful number, since it uses less digits than its factorization.

712421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 712421600 is about 26691.2270231250. The cubic root of 712421600 is about 893.1252330797.

Adding to 712421600 its reverse (6124217), we get a palindrome (718545817).

The spelling of 712421600 in words is "seven hundred twelve million, four hundred twenty-one thousand, six hundred".