75474672 has 160 divisors (see below), whose sum is σ = 246984192. Its totient is φ = 19325952.

The previous prime is 75474671. The next prime is 75474691. The reversal of 75474672 is 27647457.

It is a super-2 number, since 2×75474672² = 11392852227015168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75474671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161383 + ... + 161849.

Almost surely, 2^75474672 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 75474672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492096).

75474672 is an abundant number, since it is smaller than the sum of its proper divisors (171509520).

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

75474672 is a wasteful number, since it uses less digits than its factorization.

75474672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 75474672 is about 8687.6160136139. The cubic root of 75474672 is about 422.6041375830.

The spelling of 75474672 in words is "seventy-five million, four hundred seventy-four thousand, six hundred seventy-two".