7507072 has 32 divisors (see below), whose sum is σ = 15079680. Its totient is φ = 3722496.

The previous prime is 7507057. The next prime is 7507099. The reversal of 7507072 is 2707057.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×7507072² = 112712260026368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7507072.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28413 + ... + 28675.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 2^7507072 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 7507072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7539840).

7507072 is an abundant number, since it is smaller than the sum of its proper divisors (7572608).

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

7507072 is a wasteful number, since it uses less digits than its factorization.

7507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 7507072 is about 2739.9036479409. The cubic root of 7507072 is about 195.8048870507.

The spelling of 7507072 in words is "seven million, five hundred seven thousand, seventy-two".