76707072 has 162 divisors, whose sum is σ = 240702462. Its totient is φ = 23482368.

The previous prime is 76707041. The next prime is 76707079. The reversal of 76707072 is 27070767.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7750656 + 68956416 = 2784^2 + 8304^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76707079) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389278 + ... + 389474.

Almost surely, 2^76707072 is an apocalyptic number.

76707072 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 76707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120351231).

76707072 is an abundant number, since it is smaller than the sum of its proper divisors (163995390).

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

76707072 is a wasteful number, since it uses less digits than its factorization.

76707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 76707072 is about 8758.2573609138. The cubic root of 76707072 is about 424.8919162290.

The spelling of 76707072 in words is "seventy-six million, seven hundred seven thousand, seventy-two".