126462720 has 72 divisors (see below), whose sum is σ = 403902576. Its totient is φ = 33722368.

The previous prime is 126462697. The next prime is 126462769. The reversal of 126462720 is 27264621.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12627 + ... + 20306.

It is an arithmetic number, because the mean of its divisors is an integer number (5609758).

Almost surely, 2^126462720 is an apocalyptic number.

126462720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126462720 is an abundant number, since it is smaller than the sum of its proper divisors (277439856).

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

126462720 is an equidigital number, since it uses as much as digits as its factorization.

126462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32957 (or 32943 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 126462720 is about 11245.5644589322. The cubic root of 126462720 is about 501.9427351174.

The spelling of 126462720 in words is "one hundred twenty-six million, four hundred sixty-two thousand, seven hundred twenty".