76275144 has 96 divisors (see below), whose sum is σ = 226980000. Its totient is φ = 22947840.

The previous prime is 76275137. The next prime is 76275149. The reversal of 76275144 is 44157267.

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

It is a junction number, because it is equal to n+sod(n) for n = 76275099 and 76275108.

It is not an unprimeable number, because it can be changed into a prime (76275149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152607 + ... + 153105.

It is an arithmetic number, because the mean of its divisors is an integer number (2364375).

Almost surely, 2^76275144 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 76275144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113490000).

76275144 is an abundant number, since it is smaller than the sum of its proper divisors (150704856).

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

76275144 is a wasteful number, since it uses less digits than its factorization.

76275144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 76275144 is about 8733.5642208665. The cubic root of 76275144 is about 424.0929101010.

The spelling of 76275144 in words is "seventy-six million, two hundred seventy-five thousand, one hundred forty-four".