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72495240 = 23353471741
BaseRepresentation
bin1000101001000…
…11000010001000
312001102010202220
410110203002020
5122024321430
611105454040
71540125246
oct424430210
9161363686
1072495240
1137a15824
1220341320
13120334bc
1498b1796
156570110
hex4523088

72495240 has 64 divisors (see below), whose sum is σ = 218237760. Its totient is φ = 19265280.

The previous prime is 72495233. The next prime is 72495277. The reversal of 72495240 is 4259427.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40770 + ... + 42510.

It is an arithmetic number, because the mean of its divisors is an integer number (3409965).

Almost surely, 272495240 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 72495240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109118880).

72495240 is an abundant number, since it is smaller than the sum of its proper divisors (145742520).

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

72495240 is a wasteful number, since it uses less digits than its factorization.

72495240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72495240 is about 8514.4136615506. The cubic root of 72495240 is about 416.9684199929.

The spelling of 72495240 in words is "seventy-two million, four hundred ninety-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 347 694 1041 1388 1735 1741 2082 2776 3470 3482 4164 5205 5223 6940 6964 8328 8705 10410 10446 13880 13928 17410 20820 20892 26115 34820 41640 41784 52230 69640 104460 208920 604127 1208254 1812381 2416508 3020635 3624762 4833016 6041270 7249524 9061905 12082540 14499048 18123810 24165080 36247620 72495240