76072416 has 96 divisors (see below), whose sum is σ = 241678080. Its totient is φ = 20453376.

The previous prime is 76072411. The next prime is 76072457. The reversal of 76072416 is 61427067.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76072411) 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, 8095 + ... + 14753.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480).

Almost surely, 2^76072416 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 76072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120839040).

76072416 is an abundant number, since it is smaller than the sum of its proper divisors (165605664).

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

76072416 is a wasteful number, since it uses less digits than its factorization.

76072416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6688 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 76072416 is about 8721.9502406285. The cubic root of 76072416 is about 423.7168514197.

The spelling of 76072416 in words is "seventy-six million, seventy-two thousand, four hundred sixteen".