75903252 has 48 divisors (see below), whose sum is σ = 192460800. Its totient is φ = 23194080.

The previous prime is 75903239. The next prime is 75903253. The reversal of 75903252 is 25230957.

It is a super-2 number, since 2×75903252² = 11522607328351008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75903253) 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, 1699 + ... + 12437.

It is an arithmetic number, because the mean of its divisors is an integer number (4009600).

Almost surely, 2^75903252 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 75903252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96230400).

75903252 is an abundant number, since it is smaller than the sum of its proper divisors (116557548).

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

75903252 is a wasteful number, since it uses less digits than its factorization.

75903252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 75903252 is about 8712.2472416708. The cubic root of 75903252 is about 423.4025419877.

The spelling of 75903252 in words is "seventy-five million, nine hundred three thousand, two hundred fifty-two".