76941072 has 120 divisors (see below), whose sum is σ = 242109504. Its totient is φ = 22632192.

The previous prime is 76941047. The next prime is 76941091. The reversal of 76941072 is 27014967.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42163 + ... + 43949.

Almost surely, 2^76941072 is an apocalyptic number.

76941072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76941072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121054752).

76941072 is an abundant number, since it is smaller than the sum of its proper divisors (165168432).

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

76941072 is a wasteful number, since it uses less digits than its factorization.

76941072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 76941072 is about 8771.6060103039. The cubic root of 76941072 is about 425.3235312733.

The spelling of 76941072 in words is "seventy-six million, nine hundred forty-one thousand, seventy-two".