77701272 has 64 divisors (see below), whose sum is σ = 214358400. Its totient is φ = 23274240.

The previous prime is 77701231. The next prime is 77701313. The reversal of 77701272 is 27210777.

It is an interprime number because it is at equal distance from previous prime (77701231) and next prime (77701313).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21843 + ... + 25149.

It is an arithmetic number, because the mean of its divisors is an integer number (3349350).

Almost surely, 2^77701272 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 77701272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107179200).

77701272 is an abundant number, since it is smaller than the sum of its proper divisors (136657128).

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

77701272 is a wasteful number, since it uses less digits than its factorization.

77701272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 33.

The square root of 77701272 is about 8814.8324998266. The cubic root of 77701272 is about 426.7197161686.

The spelling of 77701272 in words is "seventy-seven million, seven hundred one thousand, two hundred seventy-two".