77058072 has 192 divisors, whose sum is σ = 270816000. Its totient is φ = 19222272.

The previous prime is 77058041. The next prime is 77058077. The reversal of 77058072 is 27085077.

77058072 is a `hidden beast` number, since 7 + 7 + 0 + 580 + 72 = 666.

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 (77058077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124179 + ... + 124797.

It is an arithmetic number, because the mean of its divisors is an integer number (1410500).

Almost surely, 2^77058072 is an apocalyptic number.

77058072 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 77058072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408000).

77058072 is an abundant number, since it is smaller than the sum of its proper divisors (193757928).

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

77058072 is a wasteful number, since it uses less digits than its factorization.

77058072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 36.

The square root of 77058072 is about 8778.2727230361. The cubic root of 77058072 is about 425.5390106841.

The spelling of 77058072 in words is "seventy-seven million, fifty-eight thousand, seventy-two".