7072624 has 40 divisors (see below), whose sum is σ = 15172640. Its totient is φ = 3172608.

The previous prime is 7072621. The next prime is 7072631. The reversal of 7072624 is 4262707.

It is a junction number, because it is equal to n+sod(n) for n = 7072592 and 7072601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7072621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7237 + ... + 8155.

It is an arithmetic number, because the mean of its divisors is an integer number (379316).

Almost surely, 2^7072624 is an apocalyptic number.

7072624 is a gapful number since it is divisible by the number (74) 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 7072624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7586320).

7072624 is an abundant number, since it is smaller than the sum of its proper divisors (8100016).

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

7072624 is a wasteful number, since it uses less digits than its factorization.

7072624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 7072624 is about 2659.4405426706. The cubic root of 7072624 is about 191.9523898155.

The spelling of 7072624 in words is "seven million, seventy-two thousand, six hundred twenty-four".