77406072 has 64 divisors (see below), whose sum is σ = 202144800. Its totient is φ = 24675840.

The previous prime is 77406071. The next prime is 77406089. The reversal of 77406072 is 27060477.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77406071) 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, 53454 + ... + 54882.

Almost surely, 2^77406072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77406072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101072400).

77406072 is an abundant number, since it is smaller than the sum of its proper divisors (124738728).

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

77406072 is a wasteful number, since it uses less digits than its factorization.

77406072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 77406072 is about 8798.0720615371. The cubic root of 77406072 is about 426.1786374169.

Subtracting from 77406072 its reverse (27060477), we obtain a triangular number (50345595 = T₁₀₀₃₄).

The spelling of 77406072 in words is "seventy-seven million, four hundred six thousand, seventy-two".