73906560 has 512 divisors, whose sum is σ = 329011200. Its totient is φ = 15261696.

The previous prime is 73906549. The next prime is 73906571. The reversal of 73906560 is 6560937.

It is a happy number.

73906560 is a `hidden beast` number, since 7 + 3 + 90 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (73906549) and next prime (73906571).

It is a super-2 number, since 2×73906560² = 10924359222067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1572457 + ... + 1572503.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^73906560 is an apocalyptic number.

73906560 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 73906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

73906560 is an abundant number, since it is smaller than the sum of its proper divisors (255104640).

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

73906560 is a wasteful number, since it uses less digits than its factorization.

73906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 73906560 is about 8596.8924618143. The cubic root of 73906560 is about 419.6568625923.

The spelling of 73906560 in words is "seventy-three million, nine hundred six thousand, five hundred sixty".