71923600 has 120 divisors (see below), whose sum is σ = 209236608. Its totient is φ = 23193600.

The previous prime is 71923571. The next prime is 71923603. The reversal of 71923600 is 632917.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71923603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46845 + ... + 48355.

Almost surely, 2^71923600 is an apocalyptic number.

71923600 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 71923600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104618304).

71923600 is an abundant number, since it is smaller than the sum of its proper divisors (137313008).

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

71923600 is a wasteful number, since it uses less digits than its factorization.

71923600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 71923600 is about 8480.7782661735. The cubic root of 71923600 is about 415.8695658629.

The spelling of 71923600 in words is "seventy-one million, nine hundred twenty-three thousand, six hundred".