7251262128 has 160 divisors (see below), whose sum is σ = 22752710400. Its totient is φ = 2192832000.

The previous prime is 7251262079. The next prime is 7251262153. The reversal of 7251262128 is 8212621527.

It is a happy number.

7251262128 is a `hidden beast` number, since 7 + 2 + 5 + 1 + 2 + 621 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7251262092 and 7251262101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854683 + ... + 2857221.

It is an arithmetic number, because the mean of its divisors is an integer number (142204440).

Almost surely, 2^7251262128 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 7251262128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11376355200).

7251262128 is an abundant number, since it is smaller than the sum of its proper divisors (15501448272).

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

7251262128 is a wasteful number, since it uses less digits than its factorization.

7251262128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3156 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 7251262128 is about 85154.3429779128. The cubic root of 7251262128 is about 1935.5506251028.

The spelling of 7251262128 in words is "seven billion, two hundred fifty-one million, two hundred sixty-two thousand, one hundred twenty-eight".