7541118072 has 96 divisors (see below), whose sum is σ = 20644369200. Its totient is φ = 2486702592.

The previous prime is 7541118071. The next prime is 7541118103. The reversal of 7541118072 is 2708111457.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7541118071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3171348 + ... + 3173724.

Almost surely, 2^7541118072 is an apocalyptic number.

7541118072 is a gapful number since it is divisible by the number (72) 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 7541118072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322184600).

7541118072 is an abundant number, since it is smaller than the sum of its proper divisors (13103251128).

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

7541118072 is a wasteful number, since it uses less digits than its factorization.

7541118072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 7541118072 is about 86839.6111921282. The cubic root of 7541118072 is about 1961.0044546095.

The spelling of 7541118072 in words is "seven billion, five hundred forty-one million, one hundred eighteen thousand, seventy-two".