70575120 has 480 divisors, whose sum is σ = 315694080. Its totient is φ = 13685760.

The previous prime is 70575107. The next prime is 70575121. The reversal of 70575120 is 2157507.

70575120 is a `hidden beast` number, since 70 + 575 + 1 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70575121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1053327 + ... + 1053393.

It is an arithmetic number, because the mean of its divisors is an integer number (657696).

Almost surely, 2^70575120 is an apocalyptic number.

70575120 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 70575120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157847040).

70575120 is an abundant number, since it is smaller than the sum of its proper divisors (245118960).

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

70575120 is a wasteful number, since it uses less digits than its factorization.

70575120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 70575120 is about 8400.8999517909. The cubic root of 70575120 is about 413.2541355950.

The spelling of 70575120 in words is "seventy million, five hundred seventy-five thousand, one hundred twenty".