76414272 has 112 divisors (see below), whose sum is σ = 223430592. Its totient is φ = 22855680.

The previous prime is 76414271. The next prime is 76414279. The reversal of 76414272 is 27241467.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76414271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204678 + ... + 205050.

It is an arithmetic number, because the mean of its divisors is an integer number (1994916).

Almost surely, 2^76414272 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 76414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111715296).

76414272 is an abundant number, since it is smaller than the sum of its proper divisors (147016320).

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

76414272 is a wasteful number, since it uses less digits than its factorization.

76414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 76414272 is about 8741.5257249521. The cubic root of 76414272 is about 424.3506059335.

The spelling of 76414272 in words is "seventy-six million, four hundred fourteen thousand, two hundred seventy-two".