77526072 has 80 divisors (see below), whose sum is σ = 233873640. Its totient is φ = 23851584.

The previous prime is 77526037. The next prime is 77526079. The reversal of 77526072 is 27062577.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77526079) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3823 + ... + 13025.

Almost surely, 2^77526072 is an apocalyptic number.

77526072 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 77526072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116936820).

77526072 is an abundant number, since it is smaller than the sum of its proper divisors (156347568).

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

77526072 is a wasteful number, since it uses less digits than its factorization.

77526072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9221 counting only the distinct ones).

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

The square root of 77526072 is about 8804.8890964055. The cubic root of 77526072 is about 426.3987537906.

It can be divided in two parts, 7752 and 6072, that added together give a cube (13824 = 24³).

The spelling of 77526072 in words is "seventy-seven million, five hundred twenty-six thousand, seventy-two".