7472880 has 120 divisors (see below), whose sum is σ = 25592112. Its totient is φ = 1953792.

The previous prime is 7472873. The next prime is 7472893. The reversal of 7472880 is 882747.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69787 + ... + 69893.

Almost surely, 2^7472880 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 7472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056).

7472880 is an abundant number, since it is smaller than the sum of its proper divisors (18119232).

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

7472880 is a wasteful number, since it uses less digits than its factorization.

7472880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 7472880 is about 2733.6568914185. The cubic root of 7472880 is about 195.5071610810.

The spelling of 7472880 in words is "seven million, four hundred seventy-two thousand, eight hundred eighty".