707472 has 60 divisors (see below), whose sum is σ = 2103660. Its totient is φ = 221952.

The previous prime is 707467. The next prime is 707501. The reversal of 707472 is 274707.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 318096 = 624^2 + 564^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

707472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41608 + ... + 41624.

It is an arithmetic number, because the mean of its divisors is an integer number (35061).

2⁷⁰⁷⁴⁷² is an apocalyptic number.

707472 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 707472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051830).

707472 is an abundant number, since it is smaller than the sum of its proper divisors (1396188).

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

707472 is a wasteful number, since it uses less digits than its factorization.

707472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 707472 is about 841.1135476260. The cubic root of 707472 is about 89.1052074031.

The spelling of 707472 in words is "seven hundred seven thousand, four hundred seventy-two", and thus it is an iban number.