7258003200 has 648 divisors, whose sum is σ = 30366056448. Its totient is φ = 1619435520.

The previous prime is 7258003169. The next prime is 7258003223. The reversal of 7258003200 is 23008527.

It is a super-2 number, since 2×7258003200² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 18950209 + ... + 18950591.

Almost surely, 2^7258003200 is an apocalyptic number.

7258003200 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 7258003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183028224).

7258003200 is an abundant number, since it is smaller than the sum of its proper divisors (23108053248).

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

7258003200 is a wasteful number, since it uses less digits than its factorization.

7258003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7258003200 is about 85193.9152756815. The cubic root of 7258003200 is about 1936.1502285354.

It can be divided in two parts, 725800 and 3200, that added together give a cube (729000 = 90³).

The spelling of 7258003200 in words is "seven billion, two hundred fifty-eight million, three thousand, two hundred".