77752272 has 80 divisors (see below), whose sum is σ = 220485888. Its totient is φ = 23462400.

The previous prime is 77752217. The next prime is 77752273. The reversal of 77752272 is 27225777.

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 77752272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77752273) 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, 31897 + ... + 34247.

Almost surely, 2^77752272 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 77752272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110242944).

77752272 is an abundant number, since it is smaller than the sum of its proper divisors (142733616).

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

77752272 is a wasteful number, since it uses less digits than its factorization.

77752272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2422 counting only the distinct ones).

The product of its digits is 96040, while the sum is 39.

The square root of 77752272 is about 8817.7248766334. The cubic root of 77752272 is about 426.8130563217.

The spelling of 77752272 in words is "seventy-seven million, seven hundred fifty-two thousand, two hundred seventy-two".