77072743 has 16 divisors (see below), whose sum is σ = 87347232. Its totient is φ = 67392000.

The previous prime is 77072741. The next prime is 77072773. The reversal of 77072743 is 34727077.

It is a cyclic number.

It is not a de Polignac number, because 77072743 - 2¹ = 77072741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77072741) 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 15 ways as a sum of consecutive naturals, for example, 31753 + ... + 34093.

It is an arithmetic number, because the mean of its divisors is an integer number (5459202).

Almost surely, 2^77072743 is an apocalyptic number.

77072743 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

77072743 is a deficient number, since it is larger than the sum of its proper divisors (10274489).

77072743 is a wasteful number, since it uses less digits than its factorization.

77072743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466.

The product of its (nonzero) digits is 57624, while the sum is 37.

The square root of 77072743 is about 8779.1083260204. The cubic root of 77072743 is about 425.5660149356.

It can be divided in two parts, 77072 and 743, that added together give a triangular number (77815 = T₃₉₄).

The spelling of 77072743 in words is "seventy-seven million, seventy-two thousand, seven hundred forty-three".