75348000 has 576 divisors, whose sum is σ = 343429632. Its totient is φ = 15206400.

The previous prime is 75347963. The next prime is 75348001. The reversal of 75348000 is 84357.

It is a super-2 number, since 2×75348000² = 11354642208000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75348001) 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, 3275989 + ... + 3276011.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^75348000 is an apocalyptic number.

75348000 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 75348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816).

75348000 is an abundant number, since it is smaller than the sum of its proper divisors (268081632).

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

75348000 is a wasteful number, since it uses less digits than its factorization.

75348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 75348000 is about 8680.3225746512. The cubic root of 75348000 is about 422.3675810174.

The spelling of 75348000 in words is "seventy-five million, three hundred forty-eight thousand".