75977352 has 288 divisors, whose sum is σ = 261424800. Its totient is φ = 20528640.

The previous prime is 75977347. The next prime is 75977359. The reversal of 75977352 is 25377957.

It is a happy number.

75977352 is a `hidden beast` number, since 7 + 597 + 7 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75977298 and 75977307.

It is not an unprimeable number, because it can be changed into a prime (75977359) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3998799 + ... + 3998817.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 2^75977352 is an apocalyptic number.

75977352 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 75977352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

75977352 is an abundant number, since it is smaller than the sum of its proper divisors (185447448).

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

75977352 is a wasteful number, since it uses less digits than its factorization.

75977352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its digits is 463050, while the sum is 45.

The square root of 75977352 is about 8716.4988384098. The cubic root of 75977352 is about 423.5402783977.

The spelling of 75977352 in words is "seventy-five million, nine hundred seventy-seven thousand, three hundred fifty-two".