75112920 has 160 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 19740672.

The previous prime is 75112903. The next prime is 75112927. The reversal of 75112920 is 2921157.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75112927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 314161 + ... + 314399.

It is an arithmetic number, because the mean of its divisors is an integer number (1600830).

Almost surely, 2^75112920 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 75112920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

75112920 is an abundant number, since it is smaller than the sum of its proper divisors (181019880).

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

75112920 is a wasteful number, since it uses less digits than its factorization.

75112920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 75112920 is about 8666.7710250127. The cubic root of 75112920 is about 421.9278718920.

The spelling of 75112920 in words is "seventy-five million, one hundred twelve thousand, nine hundred twenty".