75468000 has 192 divisors, whose sum is σ = 261031680. Its totient is φ = 19008000.

The previous prime is 75467993. The next prime is 75468013. The reversal of 75468000 is 86457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227835 + ... + 228165.

It is an arithmetic number, because the mean of its divisors is an integer number (1359540).

Almost surely, 2^75468000 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 75468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130515840).

75468000 is an abundant number, since it is smaller than the sum of its proper divisors (185563680).

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

75468000 is a wasteful number, since it uses less digits than its factorization.

75468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 75468000 is about 8687.2320102551. The cubic root of 75468000 is about 422.5916844080.

The spelling of 75468000 in words is "seventy-five million, four hundred sixty-eight thousand".