107465072 has 60 divisors (see below), whose sum is σ = 246026664. Its totient is φ = 45077760.

The previous prime is 107465051. The next prime is 107465081. The reversal of 107465072 is 270564701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27938 + ... + 31550.

Almost surely, 2^107465072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107465072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123013332).

107465072 is an abundant number, since it is smaller than the sum of its proper divisors (138561592).

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

107465072 is a wasteful number, since it uses less digits than its factorization.

107465072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 107465072 is about 10366.5361620939. The cubic root of 107465072 is about 475.4327682851.

The spelling of 107465072 in words is "one hundred seven million, four hundred sixty-five thousand, seventy-two".