75003072 has 56 divisors (see below), whose sum is σ = 200259696. Its totient is φ = 24772608.

The previous prime is 75003053. The next prime is 75003091. The reversal of 75003072 is 27030057.

It is an interprime number because it is at equal distance from previous prime (75003053) and next prime (75003091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19968 + ... + 23424.

It is an arithmetic number, because the mean of its divisors is an integer number (3576066).

Almost surely, 2^75003072 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 75003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100129848).

75003072 is an abundant number, since it is smaller than the sum of its proper divisors (125256624).

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

75003072 is a wasteful number, since it uses less digits than its factorization.

75003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 75003072 is about 8660.4313980309. The cubic root of 75003072 is about 421.7220904059.

It can be divided in two parts, 7500 and 3072, that multiplied together give a square (23040000 = 4800²).

The spelling of 75003072 in words is "seventy-five million, three thousand, seventy-two".