76138272 has 96 divisors (see below), whose sum is σ = 253814400. Its totient is φ = 21752064.

The previous prime is 76138247. The next prime is 76138289. The reversal of 76138272 is 27283167.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247 + ... + 12342.

It is an arithmetic number, because the mean of its divisors is an integer number (2643900).

Almost surely, 2^76138272 is an apocalyptic number.

76138272 is a gapful number since it is divisible by the number (72) 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 76138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126907200).

76138272 is an abundant number, since it is smaller than the sum of its proper divisors (177676128).

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

76138272 is a wasteful number, since it uses less digits than its factorization.

76138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12615 (or 12601 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 76138272 is about 8725.7247263479. The cubic root of 76138272 is about 423.8390869160.

The spelling of 76138272 in words is "seventy-six million, one hundred thirty-eight thousand, two hundred seventy-two".