76321272 has 64 divisors (see below), whose sum is σ = 201204000. Its totient is φ = 24088064.

The previous prime is 76321261. The next prime is 76321283. The reversal of 76321272 is 27212367.

It is an interprime number because it is at equal distance from previous prime (76321261) and next prime (76321283).

It is a super-3 number, since 3×76321272³ (a number of 25 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 35854 + ... + 37922.

Almost surely, 2^76321272 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 76321272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100602000).

76321272 is an abundant number, since it is smaller than the sum of its proper divisors (124882728).

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

76321272 is a wasteful number, since it uses less digits than its factorization.

76321272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2156 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 76321272 is about 8736.2046679322. The cubic root of 76321272 is about 424.1783840597.

The spelling of 76321272 in words is "seventy-six million, three hundred twenty-one thousand, two hundred seventy-two".