74532672 has 84 divisors (see below), whose sum is σ = 216347040. Its totient is φ = 24529152.

The previous prime is 74532671. The next prime is 74532677. The reversal of 74532672 is 27623547.

It is a happy number.

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 (74532671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47029 + ... + 48587.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^74532672 is an apocalyptic number.

74532672 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 74532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108173520).

74532672 is an abundant number, since it is smaller than the sum of its proper divisors (141814368).

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

74532672 is a wasteful number, since it uses less digits than its factorization.

74532672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1647 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 74532672 is about 8633.2306815004. The cubic root of 74532672 is about 420.8385966033.

The spelling of 74532672 in words is "seventy-four million, five hundred thirty-two thousand, six hundred seventy-two".