77571072 has 132 divisors (see below), whose sum is σ = 236305680. Its totient is φ = 24440832.

The previous prime is 77571071. The next prime is 77571073. The reversal of 77571072 is 27017577.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77571071) and next prime (77571073).

It is a super-2 number, since 2×77571072² = 12034542422458368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (77571071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174883 + ... + 175325.

Almost surely, 2^77571072 is an apocalyptic number.

77571072 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 77571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118152840).

77571072 is an abundant number, since it is smaller than the sum of its proper divisors (158734608).

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

77571072 is a wasteful number, since it uses less digits than its factorization.

77571072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 36.

The square root of 77571072 is about 8807.4441241486. Note that the first 3 decimals coincide. The cubic root of 77571072 is about 426.4812388699.

The spelling of 77571072 in words is "seventy-seven million, five hundred seventy-one thousand, seventy-two".