76072752 has 120 divisors (see below), whose sum is σ = 245333504. Its totient is φ = 21555072.

The previous prime is 76072741. The next prime is 76072757. The reversal of 76072752 is 25727067.

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

It is not an unprimeable number, because it can be changed into a prime (76072757) 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, 164073 + ... + 164535.

Almost surely, 2^76072752 is an apocalyptic number.

76072752 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 76072752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122666752).

76072752 is an abundant number, since it is smaller than the sum of its proper divisors (169260752).

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

76072752 is a wasteful number, since it uses less digits than its factorization.

76072752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 76072752 is about 8721.9695023544. The cubic root of 76072752 is about 423.7174752492.

The spelling of 76072752 in words is "seventy-six million, seventy-two thousand, seven hundred fifty-two".