75652020 has 72 divisors (see below), whose sum is σ = 231025704. Its totient is φ = 20037888.

The previous prime is 75652019. The next prime is 75652021. The reversal of 75652020 is 2025657.

75652020 is a `hidden beast` number, since 7 + 5 + 652 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75652019) and next prime (75652021).

It can be written as a sum of positive squares in 4 ways, for example, as 898704 + 74753316 = 948^2 + 8646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75652021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26922 + ... + 29598.

Almost surely, 2^75652020 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 75652020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115512852).

75652020 is an abundant number, since it is smaller than the sum of its proper divisors (155373684).

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

75652020 is a wasteful number, since it uses less digits than its factorization.

75652020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75652020 is about 8697.8169674925. The cubic root of 75652020 is about 422.9348859416.

Adding to 75652020 its reverse (2025657), we get a palindrome (77677677).

The spelling of 75652020 in words is "seventy-five million, six hundred fifty-two thousand, twenty".