7251157200 has 480 divisors, whose sum is σ = 27553792000. Its totient is φ = 1629089280.

The previous prime is 7251157181. The next prime is 7251157273. The reversal of 7251157200 is 27511527.

It is a super-2 number, since 2×7251157200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32516289 + ... + 32516511.

Almost surely, 2^7251157200 is an apocalyptic number.

7251157200 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 7251157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13776896000).

7251157200 is an abundant number, since it is smaller than the sum of its proper divisors (20302634800).

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

7251157200 is a wasteful number, since it uses less digits than its factorization.

7251157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 7251157200 is about 85153.7268708775. The cubic root of 7251157200 is about 1935.5412890529.

Adding to 7251157200 its reverse (27511527), we get a palindrome (7278668727).

It can be divided in two parts, 7251 and 157200, that added together give a triangular number (164451 = T₅₇₃).

The spelling of 7251157200 in words is "seven billion, two hundred fifty-one million, one hundred fifty-seven thousand, two hundred".