75142872 has 216 divisors, whose sum is σ = 254088900. Its totient is φ = 19994688.

The previous prime is 75142871. The next prime is 75142897. The reversal of 75142872 is 27824157.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75142871) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1273579 + ... + 1273637.

Almost surely, 2^75142872 is an apocalyptic number.

75142872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75142872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127044450).

75142872 is an abundant number, since it is smaller than the sum of its proper divisors (178946028).

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

75142872 is a wasteful number, since it uses less digits than its factorization.

75142872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 75142872 is about 8668.4988319778. The cubic root of 75142872 is about 421.9839470395.

The spelling of 75142872 in words is "seventy-five million, one hundred forty-two thousand, eight hundred seventy-two".