120072672000 has 576 divisors, whose sum is σ = 457531576320. Its totient is φ = 30979584000.

The previous prime is 120072671959. The next prime is 120072672019. The reversal of 120072672000 is 276270021.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×120072672000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26781759 + ... + 26786241.

Almost surely, 2^120072672000 is an apocalyptic number.

120072672000 is a gapful number since it is divisible by the number (10) 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 120072672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228765788160).

120072672000 is an abundant number, since it is smaller than the sum of its proper divisors (337458904320).

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

120072672000 is an equidigital number, since it uses as much as digits as its factorization.

120072672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 120072672000 in words is "one hundred twenty billion, seventy-two million, six hundred seventy-two thousand".