126772320 has 96 divisors (see below), whose sum is σ = 416731392. Its totient is φ = 32333312.

The previous prime is 126772279. The next prime is 126772333. The reversal of 126772320 is 23277621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126772320² = 32142442236364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5299 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (4340952).

Almost surely, 2^126772320 is an apocalyptic number.

126772320 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 126772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208365696).

126772320 is an abundant number, since it is smaller than the sum of its proper divisors (289959072).

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

126772320 is a wasteful number, since it uses less digits than its factorization.

126772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11516 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 126772320 is about 11259.3214715630. The cubic root of 126772320 is about 502.3520120635.

The spelling of 126772320 in words is "one hundred twenty-six million, seven hundred seventy-two thousand, three hundred twenty".