7258371120 has 960 divisors, whose sum is σ = 34031821824. Its totient is φ = 1388482560.

The previous prime is 7258371079. The next prime is 7258371121. The reversal of 7258371120 is 211738527.

7258371120 is a `hidden beast` number, since 7 + 2 + 583 + 71 + 1 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7258371121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19459254 + ... + 19459626.

Almost surely, 2^7258371120 is an apocalyptic number.

7258371120 is a gapful number since it is divisible by the number (70) 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 7258371120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17015910912).

7258371120 is an abundant number, since it is smaller than the sum of its proper divisors (26773450704).

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

7258371120 is a wasteful number, since it uses less digits than its factorization.

7258371120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 7258371120 is about 85196.0745574583. The cubic root of 7258371120 is about 1936.1829435185.

The spelling of 7258371120 in words is "seven billion, two hundred fifty-eight million, three hundred seventy-one thousand, one hundred twenty".