75388000 has 96 divisors (see below), whose sum is σ = 189641088. Its totient is φ = 29440000.

The previous prime is 75387973. The next prime is 75388003. The reversal of 75388000 is 88357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75388003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187800 + ... + 188200.

It is an arithmetic number, because the mean of its divisors is an integer number (1975428).

Almost surely, 2^75388000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94820544).

75388000 is an abundant number, since it is smaller than the sum of its proper divisors (114253088).

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

75388000 is a wasteful number, since it uses less digits than its factorization.

75388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 75388000 is about 8682.6263307826. The cubic root of 75388000 is about 422.4423085682.

The spelling of 75388000 in words is "seventy-five million, three hundred eighty-eight thousand".