72601920 has 140 divisors (see below), whose sum is σ = 258350004. Its totient is φ = 19353600.

The previous prime is 72601913. The next prime is 72601933. The reversal of 72601920 is 2910627.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 41062464 = 5616^2 + 6408^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24520 + ... + 27320.

Almost surely, 2^72601920 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 72601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129175002).

72601920 is an abundant number, since it is smaller than the sum of its proper divisors (185748084).

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

72601920 is a wasteful number, since it uses less digits than its factorization.

72601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 72601920 is about 8520.6760295178. The cubic root of 72601920 is about 417.1728489994.

It can be divided in two parts, 7260 and 1920, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 72601920 in words is "seventy-two million, six hundred one thousand, nine hundred twenty".