75000072 has 64 divisors (see below), whose sum is σ = 217036800. Its totient is φ = 21153600.

The previous prime is 75000071. The next prime is 75000083. The reversal of 75000072 is 27000057.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (75000071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10447 + ... + 16097.

It is an arithmetic number, because the mean of its divisors is an integer number (3391200).

Almost surely, 2^75000072 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 75000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108518400).

75000072 is an abundant number, since it is smaller than the sum of its proper divisors (142036728).

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

75000072 is a wasteful number, since it uses less digits than its factorization.

75000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5746 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 75000072 is about 8660.2581947653. The cubic root of 75000072 is about 421.7164676001.

The spelling of 75000072 in words is "seventy-five million, seventy-two", and thus it is an aban number and an uban number.