74900 has 36 divisors (see below), whose sum is σ = 187488. Its totient is φ = 25440.

The previous prime is 74897. The next prime is 74903. The reversal of 74900 is 947.

74900 = T₁₅₅ + T₁₅₆ + ... + T₁₆₀.

It is an interprime number because it is at equal distance from previous prime (74897) and next prime (74903).

It is a super-2 number, since 2×74900² = 11220020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74903) 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, 647 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁷⁴⁹⁰⁰ is an apocalyptic number.

74900 is a gapful number since it is divisible by the number (70) 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 74900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

74900 is an abundant number, since it is smaller than the sum of its proper divisors (112588).

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

74900 is a wasteful number, since it uses less digits than its factorization.

74900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 74900 is about 273.6786436681. The cubic root of 74900 is about 42.1528819806.

The spelling of 74900 in words is "seventy-four thousand, nine hundred".