7252014000 has 480 divisors, whose sum is σ = 29391118848. Its totient is φ = 1505856000.

The previous prime is 7252013987. The next prime is 7252014001. The reversal of 7252014000 is 4102527.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (7252014001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5081287 + ... + 5082713.

Almost surely, 2^7252014000 is an apocalyptic number.

7252014000 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 7252014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14695559424).

7252014000 is an abundant number, since it is smaller than the sum of its proper divisors (22139104848).

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

7252014000 is a wasteful number, since it uses less digits than its factorization.

7252014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 7252014000 is about 85158.7576236291. The cubic root of 7252014000 is about 1935.6175208605.

Adding to 7252014000 its reverse (4102527), we get a palindrome (7256116527).

The spelling of 7252014000 in words is "seven billion, two hundred fifty-two million, fourteen thousand".