712438720 has 224 divisors, whose sum is σ = 2097560448. Its totient is φ = 224919552.

The previous prime is 712438711. The next prime is 712438721. The reversal of 712438720 is 27834217.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712438721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2018064 + ... + 2018416.

Almost surely, 2^712438720 is an apocalyptic number.

712438720 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 712438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048780224).

712438720 is an abundant number, since it is smaller than the sum of its proper divisors (1385121728).

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

712438720 is a wasteful number, since it uses less digits than its factorization.

712438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 712438720 is about 26691.5477258251. The cubic root of 712438720 is about 893.1323871681.

The spelling of 712438720 in words is "seven hundred twelve million, four hundred thirty-eight thousand, seven hundred twenty".