76145872 has 40 divisors (see below), whose sum is σ = 163694880. Its totient is φ = 34020480.

The previous prime is 76145869. The next prime is 76145887. The reversal of 76145872 is 27854167.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6718 + ... + 14050.

It is an arithmetic number, because the mean of its divisors is an integer number (4092372).

Almost surely, 2^76145872 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 76145872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81847440).

76145872 is an abundant number, since it is smaller than the sum of its proper divisors (87549008).

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

76145872 is a wasteful number, since it uses less digits than its factorization.

76145872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411 (or 7405 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 76145872 is about 8726.1602093934. The cubic root of 76145872 is about 423.8531887591.

The spelling of 76145872 in words is "seventy-six million, one hundred forty-five thousand, eight hundred seventy-two".