123867072 has 168 divisors, whose sum is σ = 419274752. Its totient is φ = 34214400.

The previous prime is 123867067. The next prime is 123867101. The reversal of 123867072 is 270768321.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124497 + ... + 125487.

Almost surely, 2^123867072 is an apocalyptic number.

123867072 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 123867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209637376).

123867072 is an abundant number, since it is smaller than the sum of its proper divisors (295407680).

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

123867072 is a wasteful number, since it uses less digits than its factorization.

123867072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 123867072 is about 11129.5584818087. The cubic root of 123867072 is about 498.4848425670.

The spelling of 123867072 in words is "one hundred twenty-three million, eight hundred sixty-seven thousand, seventy-two".