107472456 has 192 divisors, whose sum is σ = 366912000. Its totient is φ = 27661824.

The previous prime is 107472451. The next prime is 107472461. The reversal of 107472456 is 654274701.

107472456 = T₂₈₀₈ + T₂₈₀₉ + ... + T₂₈₃₄.

It is an interprime number because it is at equal distance from previous prime (107472451) and next prime (107472461).

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

It is a self number, because there is not a number n which added to its sum of digits gives 107472456.

It is not an unprimeable number, because it can be changed into a prime (107472451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307770 + ... + 308118.

It is an arithmetic number, because the mean of its divisors is an integer number (1911000).

Almost surely, 2^107472456 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 107472456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

107472456 is an abundant number, since it is smaller than the sum of its proper divisors (259439544).

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

107472456 is a wasteful number, since it uses less digits than its factorization.

107472456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 107472456 is about 10366.8923019389. The cubic root of 107472456 is about 475.4436571414.

107472456 divided by its sum of digits (36) gives a triangular number (2985346 = T₂₄₄₃).

It can be divided in two parts, 10747 and 2456, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 107472456 in words is "one hundred seven million, four hundred seventy-two thousand, four hundred fifty-six".