77072742 has 32 divisors (see below), whose sum is σ = 172886400. Its totient is φ = 25448904.

The previous prime is 77072741. The next prime is 77072773. The reversal of 77072742 is 24727077.

It is a junction number, because it is equal to n+sod(n) for n = 77072697 and 77072706.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892 + ... + 12447.

It is an arithmetic number, because the mean of its divisors is an integer number (5402700).

Almost surely, 2^77072742 is an apocalyptic number.

77072742 is an abundant number, since it is smaller than the sum of its proper divisors (95813658).

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

77072742 is a wasteful number, since it uses less digits than its factorization.

77072742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13457 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 77072742 is about 8779.1082690670. The cubic root of 77072742 is about 425.5660130950.

The spelling of 77072742 in words is "seventy-seven million, seventy-two thousand, seven hundred forty-two".