71490900 has 144 divisors (see below), whose sum is σ = 232735104. Its totient is φ = 16811520.

The previous prime is 71490883. The next prime is 71490911. The reversal of 71490900 is 909417.

It is a super-2 number, since 2×71490900² = 10221897565620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89302 + ... + 90098.

It is an arithmetic number, because the mean of its divisors is an integer number (1616216).

Almost surely, 2^71490900 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 71490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116367552).

71490900 is an abundant number, since it is smaller than the sum of its proper divisors (161244204).

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

71490900 is a wasteful number, since it uses less digits than its factorization.

71490900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 71490900 is about 8455.2291512413. The cubic root of 71490900 is about 415.0339160359.

It can be divided in two parts, 71490 and 900, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 71490900 in words is "seventy-one million, four hundred ninety thousand, nine hundred".