76144992 has 96 divisors (see below), whose sum is σ = 249225984. Its totient is φ = 19776000.

The previous prime is 76144979. The next prime is 76144993. The reversal of 76144992 is 29944167.

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

It is a super-4 number, since 4×76144992⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76144993) 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, 2242 + ... + 12542.

It is an arithmetic number, because the mean of its divisors is an integer number (2596104).

Almost surely, 2^76144992 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 76144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124612992).

76144992 is an abundant number, since it is smaller than the sum of its proper divisors (173080992).

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

76144992 is a wasteful number, since it uses less digits than its factorization.

76144992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10332 (or 10324 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 76144992 is about 8726.1097861533. The cubic root of 76144992 is about 423.8515559621.

It can be divided in two parts, 761 and 44992, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 76144992 in words is "seventy-six million, one hundred forty-four thousand, nine hundred ninety-two".