124572672 has 132 divisors (see below), whose sum is σ = 411299616. Its totient is φ = 35573760.

The previous prime is 124572671. The next prime is 124572691. The reversal of 124572672 is 276275421.

It is a happy number.

124572672 is a `hidden beast` number, since 1 + 24 + 572 + 67 + 2 = 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 (124572671) 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 11 ways as a sum of consecutive naturals, for example, 63547 + ... + 65477.

Almost surely, 2^124572672 is an apocalyptic number.

124572672 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 124572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205649808).

124572672 is an abundant number, since it is smaller than the sum of its proper divisors (286726944).

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

124572672 is a wasteful number, since it uses less digits than its factorization.

124572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1943 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 124572672 is about 11161.2128373219. The cubic root of 124572672 is about 499.4295788202.

It can be divided in two parts, 12457 and 2672, that added together give a square (15129 = 123²).

The spelling of 124572672 in words is "one hundred twenty-four million, five hundred seventy-two thousand, six hundred seventy-two".