7259952000 has 1024 divisors, whose sum is σ = 30795448320. Its totient is φ = 1474560000.

The previous prime is 7259951971. The next prime is 7259952043. The reversal of 7259952000 is 2599527.

It is a self number, because there is not a number n which added to its sum of digits gives 7259952000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177071980 + ... + 177072020.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 2^7259952000 is an apocalyptic number.

7259952000 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 7259952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397724160).

7259952000 is an abundant number, since it is smaller than the sum of its proper divisors (23535496320).

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

7259952000 is a wasteful number, since it uses less digits than its factorization.

7259952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 7259952000 is about 85205.3519445815. The cubic root of 7259952000 is about 1936.3235007982.

The spelling of 7259952000 in words is "seven billion, two hundred fifty-nine million, nine hundred fifty-two thousand".