77717172 has 48 divisors (see below), whose sum is σ = 198515072. Its totient is φ = 23518080.

The previous prime is 77717141. The next prime is 77717173. The reversal of 77717172 is 27171777.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 77717172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77717173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5433 + ... + 13599.

Almost surely, 2^77717172 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 77717172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99257536).

77717172 is an abundant number, since it is smaller than the sum of its proper divisors (120797900).

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

77717172 is a wasteful number, since it uses less digits than its factorization.

77717172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8248 (or 8246 counting only the distinct ones).

The product of its digits is 33614, while the sum is 39.

The square root of 77717172 is about 8815.7343426399. The cubic root of 77717172 is about 426.7488207146.

The spelling of 77717172 in words is "seventy-seven million, seven hundred seventeen thousand, one hundred seventy-two".