120747672 has 96 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 39909024.

The previous prime is 120747659. The next prime is 120747691. The reversal of 120747672 is 276747021.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 347803 + ... + 348149.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 2^120747672 is an apocalyptic number.

120747672 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 120747672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

120747672 is an abundant number, since it is smaller than the sum of its proper divisors (221266728).

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

120747672 is a wasteful number, since it uses less digits than its factorization.

120747672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 120747672 is about 10988.5245597396. The cubic root of 120747672 is about 494.2646933904.

The spelling of 120747672 in words is "one hundred twenty million, seven hundred forty-seven thousand, six hundred seventy-two".