76052101377672 has 384 divisors, whose sum is σ = 252872974448640. Its totient is φ = 20153683630080.

The previous prime is 76052101377661. The next prime is 76052101377683. The reversal of 76052101377672 is 27677310125067.

76052101377672 is a `hidden beast` number, since 7 + 60 + 52 + 101 + 377 + 67 + 2 = 666.

76052101377672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (76052101377661) and next prime (76052101377683).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1379052003 + ... + 1379107149.

It is an arithmetic number, because the mean of its divisors is an integer number (658523370960).

Almost surely, 2^{76052101377672} is an apocalyptic number.

76052101377672 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 76052101377672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126436487224320).

76052101377672 is an abundant number, since it is smaller than the sum of its proper divisors (176820873070968).

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

76052101377672 is a wasteful number, since it uses less digits than its factorization.

76052101377672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57521 (or 57514 counting only the distinct ones).

The product of its (nonzero) digits is 5186160, while the sum is 54.

The spelling of 76052101377672 in words is "seventy-six trillion, fifty-two billion, one hundred one million, three hundred seventy-seven thousand, six hundred seventy-two".