75024972 has 144 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 21329280.

The previous prime is 75024949. The next prime is 75024973. The reversal of 75024972 is 27942057.

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

It is not an unprimeable number, because it can be changed into a prime (75024973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539679 + ... + 539817.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^75024972 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 75024972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

75024972 is an abundant number, since it is smaller than the sum of its proper divisors (145122228).

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

75024972 is a wasteful number, since it uses less digits than its factorization.

75024972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 75024972 is about 8661.6956769446. The cubic root of 75024972 is about 421.7631323472.

The spelling of 75024972 in words is "seventy-five million, twenty-four thousand, nine hundred seventy-two".