125379072 has 360 divisors, whose sum is σ = 467273664. Its totient is φ = 31629312.

The previous prime is 125379061. The next prime is 125379073. The reversal of 125379072 is 270973521.

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

It is not an unprimeable number, because it can be changed into a prime (125379073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5451253 + ... + 5451275.

Almost surely, 2^125379072 is an apocalyptic number.

125379072 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 125379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233636832).

125379072 is an abundant number, since it is smaller than the sum of its proper divisors (341894592).

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

125379072 is a wasteful number, since it uses less digits than its factorization.

125379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 125379072 is about 11197.2796696340. The cubic root of 125379072 is about 500.5049192748.

It can be divided in two parts, 12537 and 9072, that added together give a square (21609 = 147²).

The spelling of 125379072 in words is "one hundred twenty-five million, three hundred seventy-nine thousand, seventy-two".