7252900 has 72 divisors (see below), whose sum is σ = 16952040. Its totient is φ = 2688000.

The previous prime is 7252879. The next prime is 7252907. The reversal of 7252900 is 92527.

It can be written as a sum of positive squares in 12 ways, for example, as 5798464 + 1454436 = 2408^2 + 1206^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (7252907) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 118870 + ... + 118930.

It is an arithmetic number, because the mean of its divisors is an integer number (235445).

Almost surely, 2^7252900 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 7252900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476020).

7252900 is an abundant number, since it is smaller than the sum of its proper divisors (9699140).

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

7252900 is a wasteful number, since it uses less digits than its factorization.

7252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 7252900 is about 2693.1208662071. The cubic root of 7252900 is about 193.5696344356.

It can be divided in two parts, 725 and 2900, that multiplied together give a square (2102500 = 1450²).

The spelling of 7252900 in words is "seven million, two hundred fifty-two thousand, nine hundred".