70672000 has 128 divisors (see below), whose sum is σ = 201127680. Its totient is φ = 24192000.

The previous prime is 70671983. The next prime is 70672027. The reversal of 70672000 is 27607.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111685 + ... + 112315.

It is an arithmetic number, because the mean of its divisors is an integer number (1571310).

Almost surely, 2^70672000 is an apocalyptic number.

70672000 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 70672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100563840).

70672000 is an abundant number, since it is smaller than the sum of its proper divisors (130455680).

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

70672000 is an equidigital number, since it uses as much as digits as its factorization.

70672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 70672000 is about 8406.6640232615. The cubic root of 70672000 is about 413.4431434453.

Adding to 70672000 its reverse (27607), we get a palindrome (70699607).

The spelling of 70672000 in words is "seventy million, six hundred seventy-two thousand".