77052672 has 108 divisors (see below), whose sum is σ = 226712304. Its totient is φ = 25159680.

The previous prime is 77052671. The next prime is 77052673. The reversal of 77052672 is 27625077.

It is an interprime number because it is at equal distance from previous prime (77052671) and next prime (77052673).

It is a super-2 number, since 2×77052672² = 11874228524679168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (77052671) 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, 121797 + ... + 122427.

It is an arithmetic number, because the mean of its divisors is an integer number (2099188).

Almost surely, 2^77052672 is an apocalyptic number.

77052672 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 77052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113356152).

77052672 is an abundant number, since it is smaller than the sum of its proper divisors (149659632).

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

77052672 is a wasteful number, since it uses less digits than its factorization.

77052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 77052672 is about 8777.9651400538. The cubic root of 77052672 is about 425.5290702834.

The spelling of 77052672 in words is "seventy-seven million, fifty-two thousand, six hundred seventy-two".