75074040 has 320 divisors, whose sum is σ = 282268800. Its totient is φ = 17805312.

The previous prime is 75073991. The next prime is 75074059. The reversal of 75074040 is 4047057.

It is a super-2 number, since 2×75074040² = 11272222963843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 75073995 and 75074013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1597297 + ... + 1597343.

It is an arithmetic number, because the mean of its divisors is an integer number (882090).

Almost surely, 2^75074040 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 75074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141134400).

75074040 is an abundant number, since it is smaller than the sum of its proper divisors (207194760).

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

75074040 is a wasteful number, since it uses less digits than its factorization.

75074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 75074040 is about 8664.5276847616. The cubic root of 75074040 is about 421.8550597983.

The spelling of 75074040 in words is "seventy-five million, seventy-four thousand, forty".