74260872 has 192 divisors, whose sum is σ = 244608000. Its totient is φ = 20321280.

The previous prime is 74260867. The next prime is 74260877. The reversal of 74260872 is 27806247.

74260872 is a `hidden beast` number, since 7 + 42 + 608 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (74260867) and next prime (74260877).

It is a super-2 number, since 2×74260872² = 11029354220400768, which contains 22 as substring.

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 (74260877) 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, 765528 + ... + 765624.

It is an arithmetic number, because the mean of its divisors is an integer number (1274000).

Almost surely, 2^74260872 is an apocalyptic number.

74260872 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 74260872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122304000).

74260872 is an abundant number, since it is smaller than the sum of its proper divisors (170347128).

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

74260872 is a wasteful number, since it uses less digits than its factorization.

74260872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 74260872 is about 8617.4748041407. The cubic root of 74260872 is about 420.3264129214.

The spelling of 74260872 in words is "seventy-four million, two hundred sixty thousand, eight hundred seventy-two".