75221760 has 144 divisors (see below), whose sum is σ = 253128960. Its totient is φ = 18984960.

The previous prime is 75221747. The next prime is 75221767. The reversal of 75221760 is 6712257.

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

It is not an unprimeable number, because it can be changed into a prime (75221767) 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, 72445 + ... + 73475.

It is an arithmetic number, because the mean of its divisors is an integer number (1757840).

Almost surely, 2^75221760 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 75221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126564480).

75221760 is an abundant number, since it is smaller than the sum of its proper divisors (177907200).

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

75221760 is a wasteful number, since it uses less digits than its factorization.

75221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 75221760 is about 8673.0479071662. The cubic root of 75221760 is about 422.1315672816.

The spelling of 75221760 in words is "seventy-five million, two hundred twenty-one thousand, seven hundred sixty".