5072271600 has 360 divisors, whose sum is σ = 18051285616. Its totient is φ = 1216512000.

The previous prime is 5072271599. The next prime is 5072271601. The reversal of 5072271600 is 61722705.

It is an interprime number because it is at equal distance from previous prime (5072271599) and next prime (5072271601).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072271601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26281104 + ... + 26281296.

Almost surely, 2^5072271600 is an apocalyptic number.

5072271600 is a gapful number since it is divisible by the number (50) 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 5072271600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9025642808).

5072271600 is an abundant number, since it is smaller than the sum of its proper divisors (12979014016).

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

5072271600 is a wasteful number, since it uses less digits than its factorization.

5072271600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 5072271600 is about 71219.8820555047. The cubic root of 5072271600 is about 1718.1754132675.

It can be divided in two parts, 5072 and 271600, that added together give a palindrome (276672).

The spelling of 5072271600 in words is "five billion, seventy-two million, two hundred seventy-one thousand, six hundred".