75152720 has 40 divisors (see below), whose sum is σ = 176031144. Its totient is φ = 29837312.

The previous prime is 75152677. The next prime is 75152723. The reversal of 75152720 is 2725157.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 75134224 = 136^2 + 8668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75152723) 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, 7532 + ... + 14388.

Almost surely, 2^75152720 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 75152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015572).

75152720 is an abundant number, since it is smaller than the sum of its proper divisors (100878424).

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

75152720 is a wasteful number, since it uses less digits than its factorization.

75152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 75152720 is about 8669.0668471295. The cubic root of 75152720 is about 422.0023808855.

Adding to 75152720 its reverse (2725157), we get a palindrome (77877877).

The spelling of 75152720 in words is "seventy-five million, one hundred fifty-two thousand, seven hundred twenty".