73962560 has 168 divisors, whose sum is σ = 211089240. Its totient is φ = 24600576.

The previous prime is 73962547. The next prime is 73962571. The reversal of 73962560 is 6526937.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 68690944 = 2296^2 + 8288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830996 + ... + 831084.

Almost surely, 2^73962560 is an apocalyptic number.

73962560 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 73962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105544620).

73962560 is an abundant number, since it is smaller than the sum of its proper divisors (137126680).

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

73962560 is a wasteful number, since it uses less digits than its factorization.

73962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 73962560 is about 8600.1488359214. The cubic root of 73962560 is about 419.7628290595.

The spelling of 73962560 in words is "seventy-three million, nine hundred sixty-two thousand, five hundred sixty".