126872352 has 48 divisors (see below), whose sum is σ = 370046880. Its totient is φ = 42290496.

The previous prime is 126872311. The next prime is 126872363. The reversal of 126872352 is 253278621.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72558 + ... + 74285.

It is an arithmetic number, because the mean of its divisors is an integer number (7709310).

Almost surely, 2^126872352 is an apocalyptic number.

126872352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126872352 is an abundant number, since it is smaller than the sum of its proper divisors (243174528).

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

126872352 is a wasteful number, since it uses less digits than its factorization.

126872352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146862 (or 146848 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 126872352 is about 11263.7627815930. The cubic root of 126872352 is about 502.4841073165.

The spelling of 126872352 in words is "one hundred twenty-six million, eight hundred seventy-two thousand, three hundred fifty-two".