47625216 has 88 divisors (see below), whose sum is σ = 130680480. Its totient is φ = 15409152.

The previous prime is 47625199. The next prime is 47625247. The reversal of 47625216 is 61252674.

It is a super-2 number, since 2×47625216² = 4536322398093312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113455 + ... + 113873.

Almost surely, 2^47625216 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 47625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65340240).

47625216 is an abundant number, since it is smaller than the sum of its proper divisors (83055264).

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

47625216 is a wasteful number, since it uses less digits than its factorization.

47625216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 47625216 is about 6901.1025206122. The cubic root of 47625216 is about 362.4757742035.

The spelling of 47625216 in words is "forty-seven million, six hundred twenty-five thousand, two hundred sixteen".