75290670 has 192 divisors, whose sum is σ = 250024320. Its totient is φ = 15289344.

The previous prime is 75290639. The next prime is 75290689. The reversal of 75290670 is 7609257.

It is a super-3 number, since 3×75290670³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237352 + ... + 237668.

It is an arithmetic number, because the mean of its divisors is an integer number (1302210).

Almost surely, 2^75290670 is an apocalyptic number.

75290670 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75290670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125012160).

75290670 is an abundant number, since it is smaller than the sum of its proper divisors (174733650).

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

75290670 is a wasteful number, since it uses less digits than its factorization.

75290670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 75290670 is about 8677.0196496262. The cubic root of 75290670 is about 422.2604316247.

The spelling of 75290670 in words is "seventy-five million, two hundred ninety thousand, six hundred seventy".