50072688 has 80 divisors (see below), whose sum is σ = 148403200. Its totient is φ = 16148160.

The previous prime is 50072681. The next prime is 50072689. The reversal of 50072688 is 88627005.

50072688 is a `hidden beast` number, since 500 + 72 + 6 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50072681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11523 + ... + 15261.

It is an arithmetic number, because the mean of its divisors is an integer number (1855040).

Almost surely, 2^50072688 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 50072688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74201600).

50072688 is an abundant number, since it is smaller than the sum of its proper divisors (98330512).

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

50072688 is a wasteful number, since it uses less digits than its factorization.

50072688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3787 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 50072688 is about 7076.2057629778. The cubic root of 50072688 is about 368.5815866782.

The spelling of 50072688 in words is "fifty million, seventy-two thousand, six hundred eighty-eight".