7472520 has 256 divisors, whose sum is σ = 29548800. Its totient is φ = 1658880.

The previous prime is 7472513. The next prime is 7472533. The reversal of 7472520 is 252747.

7472520 = T₁₈₄ + T₁₈₅ + ... + T₃₇₀.

7472520 is a `hidden beast` number, since 74 + 72 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201942 + ... + 201978.

It is an arithmetic number, because the mean of its divisors is an integer number (115425).

Almost surely, 2^7472520 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 7472520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

7472520 is an abundant number, since it is smaller than the sum of its proper divisors (22076280).

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

7472520 is a wasteful number, since it uses less digits than its factorization.

7472520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 7472520 is about 2733.5910447615. The cubic root of 7472520 is about 195.5040215637.

The spelling of 7472520 in words is "seven million, four hundred seventy-two thousand, five hundred twenty".