7001451072 has 504 divisors, whose sum is σ = 25633241088. Its totient is φ = 1788272640.

The previous prime is 7001451053. The next prime is 7001451073. The reversal of 7001451072 is 2701541007.

7001451072 is a `hidden beast` number, since 70 + 0 + 14 + 510 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×7001451072² = 98040634227219898368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7001451073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55129473 + ... + 55129599.

Almost surely, 2^7001451072 is an apocalyptic number.

7001451072 is a gapful number since it is divisible by the number (72) 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 7001451072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816620544).

7001451072 is an abundant number, since it is smaller than the sum of its proper divisors (18631790016).

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

7001451072 is a wasteful number, since it uses less digits than its factorization.

7001451072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 7001451072 is about 83674.6740178891. The cubic root of 7001451072 is about 1913.0633546341.

Adding to 7001451072 its reverse (2701541007), we get a palindrome (9702992079).

The spelling of 7001451072 in words is "seven billion, one million, four hundred fifty-one thousand, seventy-two".