72949550 has 48 divisors (see below), whose sum is σ = 151262640. Its totient is φ = 26012160.

The previous prime is 72949549. The next prime is 72949633. The reversal of 72949550 is 5594927.

72949550 = 305² + 306² + ... + 627².

It is a junction number, because it is equal to n+sod(n) for n = 72949498 and 72949507.

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, 13892 + ... + 18408.

It is an arithmetic number, because the mean of its divisors is an integer number (3151305).

Almost surely, 2^72949550 is an apocalyptic number.

72949550 is an abundant number, since it is smaller than the sum of its proper divisors (78313090).

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

72949550 is a wasteful number, since it uses less digits than its factorization.

72949550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The square root of 72949550 is about 8541.0508721117. The cubic root of 72949550 is about 417.8376199792.

The spelling of 72949550 in words is "seventy-two million, nine hundred forty-nine thousand, five hundred fifty".