712461312 has 176 divisors, whose sum is σ = 2144928480. Its totient is φ = 233570304.

The previous prime is 712461257. The next prime is 712461329. The reversal of 712461312 is 213164217.

It is a super-2 number, since 2×712461312² = 1015202242193522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018128 + ... + 2018480.

Almost surely, 2^712461312 is an apocalyptic number.

712461312 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 712461312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072464240).

712461312 is an abundant number, since it is smaller than the sum of its proper divisors (1432467168).

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

712461312 is a wasteful number, since it uses less digits than its factorization.

712461312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 431 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 712461312 is about 26691.9709276029. The cubic root of 712461312 is about 893.1418277151.

The spelling of 712461312 in words is "seven hundred twelve million, four hundred sixty-one thousand, three hundred twelve".