73772460 has 72 divisors (see below), whose sum is σ = 224864640. Its totient is φ = 19577088.

The previous prime is 73772453. The next prime is 73772471. The reversal of 73772460 is 6427737.

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 23 ways as a sum of consecutive naturals, for example, 41061 + ... + 42819.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2^73772460 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 73772460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112432320).

73772460 is an abundant number, since it is smaller than the sum of its proper divisors (151092180).

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

73772460 is a wasteful number, since it uses less digits than its factorization.

73772460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 73772460 is about 8589.0895908705. The cubic root of 73772460 is about 419.4028930018.

The spelling of 73772460 in words is "seventy-three million, seven hundred seventy-two thousand, four hundred sixty".