72713550 has 144 divisors (see below), whose sum is σ = 226204272. Its totient is φ = 15321600.

The previous prime is 72713549. The next prime is 72713567. The reversal of 72713550 is 5531727.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 95170 + ... + 95930.

It is an arithmetic number, because the mean of its divisors is an integer number (1570863).

Almost surely, 2^72713550 is an apocalyptic number.

72713550 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72713550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113102136).

72713550 is an abundant number, since it is smaller than the sum of its proper divisors (153490722).

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

72713550 is a wasteful number, since it uses less digits than its factorization.

72713550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 72713550 is about 8527.2240500646. The cubic root of 72713550 is about 417.3865493071.

The spelling of 72713550 in words is "seventy-two million, seven hundred thirteen thousand, five hundred fifty".