72701520 has 160 divisors (see below), whose sum is σ = 242341632. Its totient is φ = 17965056.

The previous prime is 72701513. The next prime is 72701533. The reversal of 72701520 is 2510727.

It is a super-2 number, since 2×72701520² = 10571022020620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 420154 + ... + 420326.

Almost surely, 2^72701520 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 72701520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121170816).

72701520 is an abundant number, since it is smaller than the sum of its proper divisors (169640112).

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

72701520 is a wasteful number, since it uses less digits than its factorization.

72701520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72701520 is about 8526.5186330647. The cubic root of 72701520 is about 417.3635300435.

The spelling of 72701520 in words is "seventy-two million, seven hundred one thousand, five hundred twenty".