124776672 has 48 divisors (see below), whose sum is σ = 330744960. Its totient is φ = 41185152.

The previous prime is 124776649. The next prime is 124776677. The reversal of 124776672 is 276677421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124776677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3579 + ... + 16197.

It is an arithmetic number, because the mean of its divisors is an integer number (6890520).

Almost surely, 2^124776672 is an apocalyptic number.

124776672 is a gapful number since it is divisible by the number (12) 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 124776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165372480).

124776672 is an abundant number, since it is smaller than the sum of its proper divisors (205968288).

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

124776672 is a wasteful number, since it uses less digits than its factorization.

124776672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12735 (or 12727 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 124776672 is about 11170.3478907329. The cubic root of 124776672 is about 499.7020518224.

The spelling of 124776672 in words is "one hundred twenty-four million, seven hundred seventy-six thousand, six hundred seventy-two".