7235165952 has 324 divisors, whose sum is σ = 25551369480. Its totient is φ = 1957810176.

The previous prime is 7235165909. The next prime is 7235165953. The reversal of 7235165952 is 2595615327.

7235165952 is a `hidden beast` number, since 7 + 2 + 3 + 51 + 6 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7235165898 and 7235165907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7235165953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2143338 + ... + 2146710.

Almost surely, 2^7235165952 is an apocalyptic number.

7235165952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7235165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12775684740).

7235165952 is an abundant number, since it is smaller than the sum of its proper divisors (18316203528).

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

7235165952 is a wasteful number, since it uses less digits than its factorization.

7235165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3428 (or 3404 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 7235165952 is about 85059.7786971022. The cubic root of 7235165952 is about 1934.1174013052.

The spelling of 7235165952 in words is "seven billion, two hundred thirty-five million, one hundred sixty-five thousand, nine hundred fifty-two".