75248000 has 64 divisors (see below), whose sum is σ = 187125120. Its totient is φ = 30092800.

The previous prime is 75247993. The next prime is 75248009. The reversal of 75248000 is 84257.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75248009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13649 + ... + 18351.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830).

Almost surely, 2^75248000 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 75248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

75248000 is an abundant number, since it is smaller than the sum of its proper divisors (111877120).

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

75248000 is an equidigital number, since it uses as much as digits as its factorization.

75248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 75248000 is about 8674.5605075992. The cubic root of 75248000 is about 422.1806463627.

The spelling of 75248000 in words is "seventy-five million, two hundred forty-eight thousand".