77725032 has 128 divisors (see below), whose sum is σ = 244823040. Its totient is φ = 19975680.

The previous prime is 77725013. The next prime is 77725093. The reversal of 77725032 is 23052777.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 77724984 and 77725002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253023 + ... + 253329.

It is an arithmetic number, because the mean of its divisors is an integer number (1912680).

Almost surely, 2^77725032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77725032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122411520).

77725032 is an abundant number, since it is smaller than the sum of its proper divisors (167098008).

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

77725032 is a wasteful number, since it uses less digits than its factorization.

77725032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 33.

The square root of 77725032 is about 8816.1801252016. The cubic root of 77725032 is about 426.7632067788.

The spelling of 77725032 in words is "seventy-seven million, seven hundred twenty-five thousand, thirty-two".